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91Ó°ÊÓ

Find the exact value of the expression:

sin195°·cos75°

Short Answer

Expert verified

The exact value is 1232-1.

Step by step solution

01

Step 1. Given information.

Consider the given question,

sin195°·cos75°

We know localid="1646458669499" role="math" sina·sinb=12sina+b+sina-b.

Using the formula, we get,

sin195°·cos75°=12sin195°+75°+sin195°-75°

02

Step 2. Simplify the equation.

Continuing the above equation,

sin195°·cos75°=12sin270°+sin120°sin195°·cos75°=12-1+32sin195°·cos75°=1232-1

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