Question

Plzz help

find value of following : 2sin75°.cos15°​

Answer 1

`(2+√(3) )/(2)`

Explanation:

Using the product to sum formula

sinxcosy =
`(1)/(2)` [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 +
`(√(3) )/(2)`

=
`(2+√(3) )/(2)`