Question

Evaluate sin60°cos30° - cos60°sin30° + 1/8cos^260°​

Answer 1

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Answer 2

Answer:

sin60°cos30°-cos60°sin30°+1/8cos²60°.

sin60°=√3/2.

cos30°=√3/2.

cos60°=1/2.

sin30°=1/2.

sin60°cos30°-cos60°sin30°+1/8cos²60°=√3/2 √3/2-1/2 1/2+1/8(1/2)².

=(√3/2)²-(1/2)²+1/8(1/4).

=3/4-1/4+1/32.

=24-8+1/32. (Because LCM of 4,4 & 32 is 32).

=17/32.

(or).

=0.53125.

I think this is your answer.