1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tekilochka [14]
3 years ago
9

Find the exact value of the following expression (without using a calculator): tan(Sin^-1 x/2)

Mathematics
1 answer:
Sati [7]3 years ago
3 0

Answer:

tan(Sin^-1 x/2)=  \frac{x/2}{\sqrt{1-x^{2}/4 } }

Step-by-step explanation:

Let sin^-1 x/2= θ

then sinθ= x/2

on the basis of unit circle, we have a triangle with hypotenuse of length 1,   one side of length x/2 and opposite angle of θ.

          tan(Sin^-1 x/2) = tanθ

           tanθ= sinθ/cosθ

as per trigonometric identities cosθ= √(1-sin^2θ)

           tanθ= sinθ/ √(1-sin^2θ)

substituting the value sinθ=x/2 in the above equation

             tanθ= \frac{x/2}{\sqrt{1-x^{2}/4 } }

now substituting the value sin^-1 x/2= θ in above equation

             tan(sin^-1 x/2) =  \frac{x/2}{\sqrt{1-x^{2}/4 } }

!

You might be interested in
Markers are sold in boxes, pack, or as single markers. each box has 10 pack. each pack has 10 markers.
GalinKa [24]
276÷10 is 27.6 and that's the answer just draw that in long division or multiplication you should get 2,760
4 0
3 years ago
What does 1/4+1/3 equal
grandymaker [24]

Answer:

7/12

Step-by-step explanation:

1/4+1/3

the LCM is 12

4+3/7=7/12

=7/12

8 0
3 years ago
Help with practice problem
padilas [110]

Answer:

attached above with detail explanation.

5 0
2 years ago
Plzzzzz help it's an emergecy and plzzzzz show step by step
marshall27 [118]
So.. both sides divided by 4.
Now u have 14/68=x/6 -5
Multiply all by 6
Now u have 84/68=x-30
21/17+510/17=x
531/17=x
X=31 4/17
7 0
3 years ago
What are some advantages of different ways to solve an equation?
german

Answer:

Step-by-step explanation:

Use math-way go quick and easy answers without step by step explanations, and use math-soup-calculator for step by step explanation

7 0
3 years ago
Read 2 more answers
Other questions:
  • Pleassseeee hhheellppp
    6·1 answer
  • What is 8/11 divided by 6/7
    15·1 answer
  • How would you solve this?
    14·1 answer
  • Find the measure of the supplement of a 95 degree angle
    10·1 answer
  • The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and le
    7·2 answers
  • A student solved this problem by working backwards.
    11·1 answer
  • How do you do 6y^2-8y?
    10·1 answer
  • 3x + 25 = 2(4x – 10) solve step by step
    12·2 answers
  • Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap​
    9·1 answer
  • Solve for x. I need help please​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!