Question

The value of sin 60° x cos 30º is :
​

Answer 1

Answer:

What is the value of sin (60+ theta)-cos (30-theta)?

How good is the camera of OPPO Reno5 Pro?

OPPO Reno5 Pro 5G is the latest addition to the popular and premium Reno series. Along with stunning features like Reno Glow Effe

Suparna Paul

Answered 2 years ago

Let theta be equal to x.

sin ( 60°+x)

= sin 60.cos x + cos 60.sinx

=[(√3 cos x) /2 + (1 sin x) /2]

cos (30 - x)

= cos 30.cos x + sin 30.sin x

=[ (√3 cos x) /2 + (1 sin x) /2]

Therefore, sin ( 60 + x) - cos ( 30 - x)

= [(√3 cos x) /2 + (1 sin x) /2] - [(√3 cos x) /2 + (1 sin x) /2]

= 0

The answer is 0

Answer 2

Let theta be equal to x.

sin ( 60°+x)

= sin 60.cos x + cos 60.sinx

=[(√3 cos x) /2 + (1 sin x) /2]

cos (30 - x)

= cos 30.cos x + sin 30.sin x

=[ (√3 cos x) /2 + (1 sin x) /2]

Therefore, sin ( 60 + x) - cos ( 30 - x)

= [(√3 cos x) /2 + (1 sin x) /2] - [(√3 cos x) /2 + (1 sin x) /2]

= 0

Hope it helps!