what is tan theta when csc theta =2 sqrt 3?
Not really understanding how this works. If possible can someone explain step by step?
Answers
Answer:
[tex]\displaystyle \tan\theta=\frac{\sqrt{11}}{11}[/tex]
Step-by-step explanation:
Trigonometric Identities
If the trigonometric function value of an angle is given, we can find the rest of the trigonometric values of the angle by using one or more of the fundamental identities.
To solve this problem, we need to use the following identities:
[tex]\displaystyle \cot^2\theta=\csc^2\theta-1[/tex]
[tex]\displaystyle \tan\theta=\frac{1}{\cot\theta}[/tex]
Since we are given:
[tex]\displaystyle \csc\theta=2\sqrt{3}[/tex]
And the angle is in the first quadrant, calculate the cotangent:
[tex]\displaystyle \cot^2\theta=(2\sqrt{3})^2-1[/tex]
[tex]\displaystyle \cot^2\theta=4*3-1=11[/tex]
[tex]\displaystyle \cot\theta=\sqrt{11}[/tex]
The tangent is:
[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}[/tex]
Rationalizing the denominator:
[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}*\frac{\sqrt{11}}{\sqrt{11}}[/tex]
[tex]\boxed{\displaystyle \tan\theta=\frac{\sqrt{11}}{11}}[/tex]
Related Questions
Work out 97.974436 divided 14 and give your answer to 2 decimal places.
Answers
Answer:
6.998 rounded to 7.00
Step-by-step explanation:
Apples are sold in bags of 6 and pears are sold in bags of 8. Jerry wants to buy the same number of each. What is the least number of apples and pears Jerry needs to buy?
Answers
Answer:
6
Step-by-step explanation:
Apples are sold in bags of 6
Pears are sold in bags of 8
Jerry wants to buy the same number of each fruits
Therefore the least number apples and pears that Jerry needs to buy is 6
2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75. What value of x will make the triangles similar by the SSS similarity theorem? 1.5 20 30 67.5
Answers
Answer:
30
Step-by-step explanation:
yes I can tell what it is
The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.
What is the SSS Similarity Theorem?According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.
If the two triangles are similar we would have:
75/50 = 45/x
Cross multiply and find x
x = (45 × 50)/75
x = 30
Thus, the value of x would be: C. 30.
Learn more about the SSS similarity theorem on:
https://brainly.com/question/4163594
#SPJ9
PLZ HELP ASAP MARKING BRAINLIEST
Answers
Answer:
1. Increase
2. Decrease
3. Increase
4. Decrease
Step-by-step explanation:
Express 8+11+14+17+20 using sigma notation?
Answers
Answer:
70
Step-by-step explanation:
Look at the photo pick A B C D either one explanation not needed thank you! <3 don’t guess D IS IV
Answers
Answer:
D. IV
General Formulas and Concepts:
Algebra I
Reading a Cartesian PlaneStep-by-step explanation:
When we label a Cartesian Plane, we label counterclockwise starting at the top right corner:
Top Right Corner = 1st Quadrant
Top Left Corner = 2nd Quadrant
Bottom Left Corner = 3rd Quadrant
Bottom Right Corner = 4th Quadrant
We see that point B is in the Bottom Right Corner. Therefore, it is in the 4th Quadrant and our answer would be D.
Answer:
B is in IV quadrant
Step-by-step explanation:
Count it conterclockwise, begin at the top right corner
select all the line that have a slope of 5/2
Answers
The graph of a linear system is shown.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
( , )
Answers
Answer:
uh its been 2 weeks so, good luck!
Step-by-step explanation:
PLEASE ANSWER SOON
Multiply.
−2 1/3⋅1 1/2
Enter your answer, in simplest form, in the box.
Answers
Answer:
its 7/2
Step-by-step explanation:
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.
How many milligrams of potassium should you consume daily?
___ milligrams
Answers
so
1360/.80 = x/1
Answer: 1700 milligrams
video Given: A B ‾ ⊥ A C ‾ , AB ⊥ AC , A D ‾ ≅ A E ‾ AD ≅ AE and B E ‾ ≅ C D ‾ . BE ≅ CD . Prove: D F ‾ ≅ E F ‾ DF ≅ EF .
Answers
Answer:
prove: DF-~EF- DF~EF ~~AD
Simplify 7/3 - 4 V6 + 48 - 54.
(20 points)
Answers
Answer:
option B
Step-by-step explanation:
7 sq rt 3 cannot be simplified
4 sq rt 6 cannot be simplified
sq rt 48 = (sq rt 12 · sq rt 4) = (sq rt 4 · sq rt 4 · sq rt 3) = 4 sq rt 3
sq rt 54 = (sq rt 9 · sq rt 6) = 3 · sq rt 6
combine each pair of like terms: (7 sq rt 3 + 4 sq rt 3) = 11 sq rt 3
(-4 sq rt 6 - 3 · sq rt 6) = -7 sq rt 6
work out the answer to 2.6882*14.71728 and give your answer correct to 2 decimal places
Answers
Answer:
the answer should be 39.56
Solve for x
6.78x - 5.2 = 4.33x + 2.15
HELPPP
Answers
Answer:
x = 3
Step-by-step explanation:
6.78x - 5.2 = 4.33x + 2.15
6.78x - 4.33x = 5.2 + 2.15
2.45x = 7.35
x = 7.35/2.45
x = 3
Thus, The value of x is 3
-TheUnknownScientist
Fred bought 320 square
feet of plywood to make
the triangular shed shown
here If he used plywood
for all parts of the shed
(including the bottom)
how much did he
have left over?
Answers
I will give brainlest to the best answer!!!!
Answers
Answer:
-3,9
Step-by-step explanation
2 to -4 would take 6 units down and 8-1 is 7 and 7+2 is 9.
hope this helps!
What is the difference between an RRSP and an RESP?
Answers
Answer:
RRSP is an acronym for “registered retirement savings plan” and, naturally is all about saving for when you're old. RESP stands for “registered education savings plan” and provides a great way to sock money away for your child's university education.
Step-by-step explanation:
Kendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14.8 feet, what is the area of her yard? Do not include units (ft2) in your answer.
Answers
Given:
Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.
To find:
The area of her yard.
Solution:
Let as consider,
Length of yard = 24.6 ft
Width of yard = 14.8 ft
We know that,
Area of a rectangle = Length × Width
Using the above formula, we get the area of her yard.
[tex]Area=24.6\times 14.8[/tex]
[tex]Area=364.08[/tex]
Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.
Therefore, the area of her yard is 364.08.
-5x-4y=2a 4x-5y=2 which of the following choices of A will results in a system of linear equations with exactly one solution
Answers
Answer:
Any of them. a ∈ RStep-by-step explanation:
-5x - 4y = 2a 4x - 5y = 2
-4y = 5x + 2a -5y = -4x + 2
y = (5x + 2a):(-4) y = (-4x + 2):(-5)
y = -⁵/₄x - ¹/₂a y = ⁴/₅x - ²/₅
m₁ = -⁵/₄, b₁ = -¹/₂a m₂=⁴/₅, b₂= -²/₅
-⁵/₄ ≠ ⁴/₅
Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.
A triangle has sides with lengths of 13 yards, 34 yards, and 36 yards. Is it a right triangle?
Answers
Answer:
Yes, if you round up the decimals.
Step-by-step explanation:
how do you isolate 1/2h -2 = -5
Answers
Answer:
Here is how to isolate the variable h.
Step-by-step explanation:
First, you have to isolate the variable which in this equation is "h." So you're going to add 2 to each side, which will give you
1/2h -2 + 2 = -5 + 2
1/2h = 3
now you've isolate the variable and you can solve for h.
(h = 6)
The i-Ready Answer:
h=14
The i-Ready Explanation:
1/2h-12= -5
+12 +12 ( Add 12 on both sides )
1/2h=7
2 x 1/2h=2 x 7 ( Multiply by 2 on both sides )
h=14
Help WiTh tHis ThIng PleAsE *dies* lol
Answers
Answer:
see explanation
Step-by-step explanation:
Since it is a balance then both sides are the same, that is equal.
The 4 weights represented by circles can be written as 4w, then
4w = 25 ← equation representing the situation
Divide both sides by 4 to find w
w = 25 ÷ 4 = 6.25 ← the weight of 1 circle
Calculate the marked price of a sweater purchased at Rs. 1075 allowing 14% discount. ( please do proper answer )
Answers
Answer:
Rs. 1250
Step-by-step explanation:
The sweater is purchased at Rs. 1075
The discount is 14%
Let y represent the marked price of the sweater
y × 14% = 1075
y × (100-14)/100= 1075
y × 86/100= 1075
y ×0.86= 1075
0.86y= 1075
Divide both sides by the coefficient of y which is 0.86
0.86y/0.86 = 1075/0.86
y = 1250
Hence the marked price is Rs. 1250
The rope is 50,000 millimeters.How long is the rope in meters
Answers
Answer:
50
Step-by-step explanation:
trust me
Answer:
0,05 Km
keksdkdkkckfkvkvkvv
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points)
y = eight divided by x squared' + 2
(open the picture to understand better)
Answers
Step-by-step explanation:
f(x) = 8/x + 2
g(x) = x²
When y = f(g(x)),
y = f(x²) = 8/x² + 2.
The vertex of this parabola is at -5, -2. when the x-value is 4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation
Answers
Answer:
4/81 = a
Step-by-step explanation:
The vertex form of a parabola is
y = a (x-h)^2 +k where (h,k) is the is the vertex
y = a (x- -5)^2 -2
y = a (x+5)^2 -2
Substituting the point into the equation
2 = a( 4+5)^2 -2
2 = a( 9)^2 -2
2 = a (81) -2
Add 2 to each side
4 = 81 a
Divide each side by 81
4/81 = a
Answer:
a=4/81
Step-by-step explanation:
Hopefully this helps :)
Part B
Enter the numerical coordinates of the vertices of quadrilateral ABCD in the table. (Point A has been done for you.) Then predict the numerical
coordinates of the vertices of quadrilateral A'B'C'D' as the figure translates four different ways: 7 units up, 1 unit down, 4 units to the right, and 3
units to the left.
Answers
9514 1404 393
Answer:
up: (-3, 5); down: (-3, -3); right: (1, -2); left: (-6, -2)
Step-by-step explanation:
As you know, the coordinates of a given point tell you the distance ...
(right, up)
So, a displacement 7 units up adds 7 to the second coordinate value:
A(-3, -2) ⇒ A'(-3, -2+7) = A'(-3, 5) . . . . 7 units up
Likewise, 1 unit down subtracts 1 unit from the second coordinate value:
A(-3, -2) ⇒ A'(-3, -3) . . . . 1 unit down
__
Similarly, left-right changes affect only the first coordinate. Displacements right are added; displacements left are subtracted.
A(-3, -2) ⇒ A'(-3+4, -2) = A'(1, -2) . . . . 4 units right
A(-3, -2) ⇒ A'(-6, -2) . . . . 3 units left
PLEASE HELPP
Combine like terms: 22r-18-10r
A: 12r+18
B: 12r-18
C: -6r
D: -4r-10
Answers
Answer:
B: 12r-18
Step-by-step explanation:
22r-10r = 12r
and -18 doiesnt have anythign to combine with
12r-18
Help I’m on gradpoint!!!
Answers
Answer:
The first answer i think.
Step-by-step explanation:
what is the coefficient
Answers
Answer:
coefficient of what?
Step-by-step explanation: