RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 23 of MCQ

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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.


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,

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