Question

Finf (sin30+cos30)(sin60+cos60

Answer 1

Answer:

(sin 30° + cos 30°) . (sin 60° + cos 60°)

= (1/2+√3/2) . (√3/2+1/2)

= (1+√3)/2 . (√3+1)/2

= (1+√3)² / 2²

= [ (1)² + (√3)² + 2.1.√3 ] / 4

= [ 4 + 2√3 ] /4

Either the answer can be written like this or, it can be converted to decimal also,

= [ 4+2*1.732 ] / 4

= [ 4+3.464 ] / 4

= 7.464/4

= 1.866

Hope this helps.