Question

evaluate: sin60*cos30+sin30*cos60

Answer 1

sin 60 = root 3 /2

cos 30 = root 3 /2

sin 30 = 1/2

cos 60 = 1/2

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

= 3/4 + 1/4

= 4/4

= 1

sin 60 + 30 = 90

where sin 90 = 1

Answer 2

Step-by-step explanation:

sin60°×cos30°+sin30°×cos60°

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

As we know That -

Sin60° = √3/2

Sin 30° = 1/2

cos 30° = √3/2

cos 60° = 1/2