Question

sin60+cos30=cos60+sin30 give the value

Answer 1

sin 60 = √3/2
cos 30 = √3/2
cos 60 = 1/2
sin 30 = 1/2
 
then,
Sin60+cos30=cos60+sin30
⇒ Sin60+cos30-cos60-sin30 = 0
⇒ √3/2+√3/2-1/2-1/2
⇒ (√3+√3-1-1)/2
⇒ (2√3-2)/2
⇒ 2(√3-1)/2
= √3-1 ------ value

therefore,
Sin60+cos30-cos60-sin30 = √3-1