Question

$sin ({sin}^{ - 1}( \frac{1}{5} ) + {cos}^{ - 1} x) = 1$
solve the following equation ​

Answer 1

Answer:

Here your answer is:-

sin(sin-1 1/5+cos-1 x)=1

sin-1 1/5+cos-x=sin-1

but sin pi/2=1

sin-1=pi/2

sin-1 1/5+cos-1 x=pi/2____(1)

in inverse trignometry ;

sin-1+cos-1=pi/2

so,equation (1) follows the above identity

so, sin-1 1/5+cos-1 x=pi/2

Therefore the value of X will be 1/5.

✔hope it helps you):

thank you!!