We solved that sin^-1(sin10)=3pie-10 Because 10 doesn`t lie between -pie/2 and pie/2. But how we knew that 10 doesn`t lie between -pie/2 and pie/2 ???

Dear student

Please attach a premise to the question so that we can understand the problem

However you can know that pi/ 2 is 3.14/2

So 10 does not lie in given range, to specifically answer the question

Regards