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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23

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,



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