cos60 ° sin30 ° + cos30 ° sin60 ° =?
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Step-by-step explanation:
You can do each calculation separately and do all the math, or you can recognize the angle difference formula for cosine:
cos(A−B)=cosA×cosB+sinA×sinB
In this case, A is 60∘ and B is 30∘. Use the formula backward now:
=cos60∘×cos30∘+sin60∘×sin30∘
=cos(60∘−30∘)
=cos(30∘)
=The value is √32.
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