Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ

Answers

Answer 1

Answer:

a.

cos θ = 2/5, tan θ = ?

tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2

b.

cosec θ = 7/3, cos θ = ?

cosec θ =  1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7

c.

cot θ = 4/3, sec θ = ?

cot  θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4

d.

tan θ = 3, cosec θ = ?

sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3

Related Questions

a(b+c)=a(d-e) solve for b

Answers

Answer:

b = - c + d - e

abcdefghijklmnopqrstuvwxyz

Anna drives her car at a speed of 70 km per hour. How much distance will she cover in 3 hours 30 minutes?​

Answers

Given:

Speed: 70km/hrTime =3hours 30 minutes or [tex]3 \frac{1}{2} [/tex]

To find :

Distance=?

Solution:

Distance» [tex]speed \times time[/tex]

Distance» [tex]70 \times \frac{7}{2} [/tex]

Distance» [tex] \frac{490}{2} [/tex]

Distance» 245

Answer:

245 units

Step-by-step explanation:

Anna drives her car at a speed of = 70 kmph

To Find:

How much distance will she cover in 3 hours 30 minutes.

Solution:

We'll use here the formula of Speed,then plug the values which are given.

Speed = Distance/Time

Speed = 70 kmphDistance = 3 hr 3 mins = 7/2 hrs

70 = D/7/2

7/2*70 = Distance

7*35 = Distance

Distance = 245

We can conclude that Anna can cover 245 units in 3 hrs 30 mins.

A tugboat goes 72 miles upstream in 9 hours. The return trip downstream takes 4 hours. Find the speed of the tugboat without a current and find the speed of the current.

Answers

Step-by-step explanation:

72÷9= 8, so the boat was only doing 8mph going upstream (against the current) the return trip downstream only took 4 hours. 72÷18=4 meaning the boat was traveling at 18mph downstream (no current) there is a 10mph difference between upstream and downstream therefore the current had to be running at 10 mph. so the speed of the tug boat is 8mph without a current and the current is running at 10mph.

(-6,7) (0,3)

I'm having treble finding the slop I need the sem

Answers

Did you use the formula

gradient =

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

??

I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it

Round 0.0625 to the nearest hundredth​

Answers

0.06
Because you take away the 2 and the 5 which makes it 0.06
This is the answer with explanations.

what is 200 x 300 kakakkakakakakkaakkkak

Answers

Answer:

60000 ty ..............

Answer:

60000

..............

what a difficult question !!! Do not ask such difficult questions ..lol

solve inequality: |7x+15|>-0.5

Answers

9514 1404 393

Answer:

  true for all values of x

Step-by-step explanation:

The absolute value of a linear function is always at least 0, so is always greater than -0.5. The inequality is true for all real numbers.

percent change of 3.25 to 2.95​

Answers

Answer:

-9.23%

Step-by-step explanation:

.

susan and teo play soccer susans team plays every five days and teos team plays every six days when will they play on the same day

Answers

Answer: On day 30

Step-by-step explanation:

1. skip count by both 5 and 6 and look for the first number they have in

   common  5, 10, 15, 20, 25, 30, 35, 40, 45, 50

                    6, 12,18, 24, 30, 36, 42, 48, 54, 60

            30 is the first number in common

                         

An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.

Answers

Probabilities are used to determine the chances of an event.

The probability that the two bags are selected for extra screening is 0.02

The given parameters are:

[tex]n = 2[/tex] --- number of bags

[tex]p = 14\%[/tex] --- the probability that a bag is selected for extra screening

The probability that the two bags are selected for extra screening is:

[tex]P(2) = p^n[/tex]

So, we have:

[tex]P(2) = (14\%)^2[/tex]

Express percentage as decimal

[tex]P(2) = (0.14)^2[/tex]

[tex]P(2) = 0.0196[/tex]

Approximate

[tex]P(2) = 0.02[/tex]

Hence, the required probability is 0.02

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

0.02 i did khan academy pls mark brainliest

Step-by-step explanation:

1. Which of the following should you do first when solving the equation 3x + 2 = 4x – 5(x + 6)?
A. divide both sides by 3
B. subtract 2 from both sides
C. distribute the - 5 through the parenthesis (x+6)
D. subtract 4x from both sides

Answers

Answer:

(x+6)

Step-by-step explanation: remember gemdas

Groups

Exponents

Multipy

Divide

Add

Ssubtract

Find the perimeter P of
v
OJKLM
with vertices J(-3,-2), K(-5, -5), L(1, -5), and M(3,-2). Round your answer to the nearest tenth, if
necessary
Ť
P=
units
OCT
7
étv
A
W
Р
MacBook Air
12
0
!
A
11
3
$
4
%
5
&
7
4
8
2
9
o
Q
W
E
R
T
O
Р
lab

Answers

Answer:

P = 3.6 + 6 + 3.6 + 6 = 19.2 units

Step-by-step explanation:

distance between (-3,-2) and (-5,-5) =

Sqrt[(-5-3)^2+(-5 - -2)^2]

Sqrt (4+9) = 3.6

d = (-5,-5) and (1,-5) =

Sqrt[(1 - - 5)^2 + (-5 - - 5)^2]

= sqrt (36 + 0) = 6

d = (1,5) and (3,-2)

Sqrt[(1 - - 3)^2 + (-5 - - 2)^2]

Sqrt(4+9) = 3.6

d = (3,-2) and (-3,-2)

Sqrt[(-3-3)^2 + (-2 - - 2)^2]

Sqrt (36+0) = 6

cuanto es 21:45 dividido a 7:15?​

Answers

Answer:

Entraría 3 veces.

Step-by-step explanation:

Podemos probar esto encontrando el máximo común divisor entre 21 y 45

21: 1,3,7,21

45: 1,3,5,9.15,45

Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.

In ΔPQR, r = 640 inches, q = 310 inches and ∠Q=30°. Find all possible values of ∠R, to the nearest degree.

Answers

Answer:

No Possible Triangles

Step-by-step explanation:

sinA/a =  sinB/b

 From the reference sheet (reciprocal version).

sinR/640 =  sin30/310  

Plug in values.

sinR=   (640 (sin30))/ 310≈1.0322581

Evaluate.

 

R=sin  −1  (1.0322581)=ERROR

Sine cannot be greater than 1.

Find the least common denominator (LCD) of 5/8
and 1/4

Answers

Answer:

8

Step-by-step explanation:

1. 1/4 × 2/2 = 2/8 (denominator is 8)

2. 5/8 × 1 = 5/8 (denominator is 8)

Therefore, the common denominator is 8.

The least common denominator is 8.
5/8=5/8 x 1/1=5/8
1/4=1/4 X 2/2 = 2/8

Simplify

8/9
____

5/6

Answers

Answer:  16/15  

decimal: 1.0666

mixed number: 1 1/15

Step-by-step explanation:

What is reciprocal of 2 1/2

Answers

Answer:

0.4

Step-by-step explanation:

type in a calculator 1 divide by 2.5 to get the answer

I need super help with this one.
Which expression is equivalent to 8k+10+9k+1?
-k+11 18k+10
-k+9 or 11+17k

Answers

Answer:

[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]

Please someone draw where these are supposed to go on paper (WILL MARK BRAINLEST)

Answers

Answer:

youre not pretty jjdbfjjfkdksjsjd

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

722 kg

Step-by-step explanation:

551:29=x:38

551*38=29x

20938/29=x

x=722 kg

Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?

A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.

Answers

ya ur my good but not good

I really need this last question please anyone's help is very appreciated ​

Answers

Answer:

y = (5/2)x + 13/2

y = 3

y = -2x + 6

Step-by-step explanation:

The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.

Since we have two points, we can find the equation.

You can use the slope formula given two points, but I will read it off the graph with rise and run.

Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).

slope = rise/run = 5/2

y = mx + b

y = (5/2)x + b

Use point (-1, 4) for x and y and solve for b.

4 = (5/2)(-1) + b

8/2 + 5/2 = b

b = 13/2

y = (5/2)x + 13/2

This is the first answer.

The middle part is a horizontal line in which every point has y-coordinate 3.

The equation is:

y = 3

This is the second answer.

The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).

Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).

slope = rise/run = 2/(-1) = -2

Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.

b = 6

y = mx + b

y = -2x + 6

This is the third answer.

(-10) + 3 please help

Answers

Answer:

The answer is -7 the answer is-7

Answer:

-7

Step-by-step explanation:

(-10)+3

-10+3=-7

-4-6=-10

-10+7=-3

Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:

Answers

Answer:

9a-3

Step-by-step explanation:

a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3

If y varies directly as x and as the square of z, and y =25/9 when x=5 and z=1, find y when x =1 and z=4

Answers

Answer:

y= 80/9

Step-by-step explanation:

Given

" y varies directly as x" and "as the square of z" so y = x* z²* some number

if y =25/9 when x= 5, z= 1 and y = x*z²* some number

then 25/9  = 5 * 1² * some number

      5*(5/9) = 5 * some number

therefore y = x* z²* (5/9)

y= ? when x=1 , z= 4

y = x * z² * (5/9)

y = 1 * 4² * (5/9)

y = 16*5 / 9

y = 80/9

Fill the table so it represents a linear function

Answers

Answer:

Hey mate.....can't see the attached picture....please check again

Answer:

what table??

Step-by-step explanation:

Find the missing dimension of the prism.​

Answers

Answer:

10

Step-by-step explanation:

To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10

Solve for x: 1 < x + 3 < 4

4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
100 points!!!

Answers

Answer:

Solve for x: x < 1

Step-by-step explanation:

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

I bought 3,000,000 shares at .000007. what would my gain be if it reached .01 .

Answers

If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth

(3,000,000 shares) × ($0.000007/share) = $21

If the price increases to $0.01 per share, then the same number of shares would have a value of

(3,000,000 shares) × ($0.01/share) = $30,000

So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a

$29,979 / $21 = 1,427.57 = 142,757%

increase in value.

IGNORE THE BOTTOM ONE PLEASE HELP

Answers

Answer:

see explanation

Step-by-step explanation:

∠ A and ∠ FCE are corresponding angles and are congruent , then

∠ A = 150°

∠ FCE and ∠ C are vertically opposite angles and are congruent , then

∠ C = 150°

∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°

∠ ECB = 180° - ∠FCE = 180° - 150° = 30°

∠ E = 180° - (30 + 45)° ← sum of angles in a triangle

∠ E = 180° - 75° = 105°

∠ CBE and ∠ D are same- side interior angles and sum to 180° , then

∠ D = 180° - 45° = 135°

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