Question

Page No
Date
find the
value of sin
{ 1 cos" -
12​

Answer 1

sin-1(sin12)+cos-1(cos12)

Here, we have to convert sin12 into a value from -

π

2

 

to  

π

2

 

and cos12 into a value from 0 to π.

We can write,

sin-1(sin12)+cos-1(cos12)=sin-1(sin(12-4π))+cos-1(cos(4π-12))

=12-4π+4π-12=0

∴sin-1(sin12)+cos-1(cos12)=0