Question

sin60° cos30°-cos60° sin30°​

Answer 1

Answer:

Answer is 1 /2

Step-by-step explanation:

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Answer 2

Answer:

1/2

Step-by-step explanation:

There are two ways to solve this problem.

1) Putting the values -

Sin 60° = $\sqrt3$/2    , Sin 30° = 1/2

Cos 60° = 1/2      , Cos 30° = $\sqrt3$/2

=> sin60° cos30°-cos60° sin30°​

=>$\sqrt3$/2 x $\sqrt{3}$/2 - 1/2 x 1/2

=> 3/4 - 1/4

=> 1/2

2)Using the identity-

sin theta = cos (90°- theta)

cos theta = sin(90°- theta)

=>sin60° cos30°-cos60° sin30°​

=> cos 30° cos 30° - sin 30° sin 30°

=> $cos^{2}$30° - $sin^{2}$30°

=> 3/4 - 1/4

=> 1/2

Hope it helps..!!