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RD Chapter 4 Inverse Trigonometric Functions Ex 4.1 Solutions

Question - 1 : - Find the principal value of the following:

Answer - 1 : -


(iii) Given functions can be written as

(iv) The given question can be written as

(v) Let

(vi) Let

Question - 2 : - (i) 

(ii) 

Answer - 2 : -

(i) The given question can be written as,

(ii) Given question can be written as

Question - 3 : -

Find the domain ofeach of the following functions:

 

  1. F(x) = sin-1x2
  2. F(x) = sin-1x + sin x
  3. f(x) = sin-1x + sin-12x

Answer - 3 : - 1.


2.

3.

4.

Question - 4 : -

If sin-1x + sin-1y + sin-1z +sin-1t = 2π, then find the value x2 + y2 +z2 + t2.

Answer - 4 : -


Question - 5 : -

Answer - 5 : -


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