Question

Question #52bd7

Answer 1

Yes

Explanation:

We know that the following relation is a trigonometrical identity.

`cos (A+B)=cosA cosB- sinA sinB`

So the relation is valid for all real values of A and B.Hence it is valid for `A=60^@ and B=30^@`

For these values we have
`LHS cos (60°+30°)=cos90°=0`
And

`RHS=cos60^@cos30°- sin60°sin30°`
`=1/2xxsqrt3/2-sqrt3/3xx1/2=sqrt3/4-sqrt3/4=0`

Both sides are getting the same value zero.This supports the valdity.