Choose the correct answer
If , then x is equal to
We are given that,
We need to find the value of x.
We know that by trigonometric identity, we can represent sin θ, cos θ and tan θ in terms of tan θ.
Note,
So, in the equation given in the question, let x = tan θ.
Re-writing the equation,
Substituting the values of trigonometric identities,
Using the property of inverse trigonometry, we have
sin-1 (sin A) = A, cos-1 (cos A) = A and tan-1 (tan A) = A
Now, in order to find the value of x, recall
x = tan θ
Substitute the value of θ derived above,