Question

Cos 30 Sin 60 + sin 30 cos 60=​

Answer 1

1

Explanation:

30° and 60° are angles of one of the standard triangles

sin (30°) = 1/2

cos(30°) = √3/2

sin(60°) = √3/2

cos(60°) = 1/2

So,

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

= (√3/2)(√3/2) + (1/2)(1/2) = 3/4 + 1/4

= 1

Answer 2

One of the conventional triangles' angles is 30 degrees and 60 degrees.

sin (30)= 1/2

cos (30)= √3/2

sin (60)= √3/2

cos (60)= 1/2

So, Sin (60)・cos (30) + sin (30) ・cos (60)

= (√3/2) (√3/2) + (1/2) (1/2) = 3/4 + 1/4 = 1