write the expression as a sum or difference of trigonometric functions. 2 sin 48° cos 96° 2 sin 48° cos 96°…

write the expression as a sum or difference of trigonometric functions. 2 sin 48° cos 96° 2 sin 48° cos 96° = (do not include the degree symbol in your answer.)

write the expression as a sum or difference of trigonometric functions. 2 sin 48° cos 96° 2 sin 48° cos 96° = (do not include the degree symbol in your answer.)

Answer

Explanation:

Step1: Use the product - to - sum formula

The formula (2\sin A\cos B=\sin(A + B)+\sin(A - B)). Here (A = 48) and (B=96).

Step2: Calculate (A + B) and (A - B)

(A + B=48+96 = 144) and (A - B=48 - 96=-48).

Step3: Substitute into the formula

Since (\sin(-x)=-\sin x), then (2\sin48\cos96=\sin144+\sin(-48)=\sin144-\sin48).

Answer:

(\sin144-\sin48)