Question

sin 60 cos 30+sin 30 cos 60​

Answer 1

sin 60 cos 30+sin 30 cos 60

$\frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} + \frac{1}{2} \times \frac{1}{2} \\ = \frac{3}{4} + \frac{1}{4} \\ = \frac{3 + 1}{4} \\ = \frac{4}{4} \\ = 1$

Answer 2

We know,

sin 60 = √3/2

sin 30 = 1/2

cos 30 = √3/2

cos 60 = 1/2

Substituting value

(√3/2)(√3/2) + (1/2)(1/2)

= 3/4 + 1/4 = 4/4 = 1