Use the product-to sum identities to rewrite the expression as the sum or difference of two...

Question

Question

Use the product-to sum identities to rewrite the expression as the sum or difference of two functions cos 33° cos 17° On Cos

Answer 1

Answer #1

Given expression:

Cos 33°Cos 17°.

Since we know the identity:

Cos A Cos B =1/2[Cos(A-B)+Cos(A+B)].

Using this we have A =33° ,B=17°

Putting the values in above identity.

Cos 33°Cos 17°=1/2[cos(33°-17°)+cos(33°+17°)]

Cos 33°Cos 17°=1/2[cos(16°)]+1/2[cos(50°)].

Since only option (A) matches our answer.

Therefore option (A) is correct.

Answer 2

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