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

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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,



Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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