Find the exact value of the following expression (without using a calculator): tan(Sin^-1 x/2)
1 answer:
Answer:
tan(Sin^-1 x/2)= 
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= 
now substituting the value sin^-1 x/2= θ in above equation
tan(sin^-1 x/2) = 
!
You might be interested in
276÷10 is 27.6 and that's the answer just draw that in long division or multiplication you should get 2,760
Answer:
7/12
Step-by-step explanation:
1/4+1/3
the LCM is 12
4+3/7=7/12
=7/12
Answer:
attached above with detail explanation.
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
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