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Chapter 2 Inverse Trigonometric Functions Ex 2.2 Solutions

Question - 1 : - Prove 

Answer - 1 : - To prove: 

Let x = sinθ.Then, 

We have,

R.H.S.=

= 3θ

=L.H.S.

Question - 2 : - Prove 

Answer - 2 : - To prove:

Let x = cosθ.Then, cos−1 x =θ.

We have,

Question - 3 : - Prove 

Answer - 3 : - To prove:

Question - 4 : - Prove 

Answer - 4 : - To prove: 

Question - 5 : -

Write the function in thesimplest form:

Answer - 5 : -

Question - 6 : -

Write the function in thesimplest form:

Answer - 6 : -

Put x =cosec θ  θ =cosec−1 x


Question - 7 : -

Write the function in thesimplest form:

Answer - 7 : -

Question - 8 : -

Write the function in thesimplest form:

Answer - 8 : -

Question - 9 : -

Write the function in thesimplest form:

Answer - 9 : -

Question - 10 : -

Write the function in thesimplest form:

Answer - 10 : -

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