prove that cos30+sin60/1+cos60+sin30=root3/2 2) find the acute angle when cos-sin/cos+sin=1-root3+1+root3/1+root3-1-root3

We would request you to please ask one question at a time. The answer to your first question is as follows:

 

cos30+sin60/1+cos60+sin30

= (sqrt 3/ 2 + sqrt 3/2) / (1 + 1/2 + 1/2)

= (2 sqrt 3/ 2) / 2

= sqrt 3/ 2