Question

cos60 ° sin30 ° + cos30 ° sin60 ° =? ​

Answer 1

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.