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Chapter 8: Q. 2 (page 555)

Find the exact value ofsin40°-cos50°.

Short Answer

Expert verified

The value of the given expression is 0.

Step by step solution

01

Step 1. Given Information

The given expression issin40°-cos50°.

02

Step 2. Simplify

  • Rewrite 40°as 90°-50°in the given expression.

role="math" localid="1646826365197" sin40°-cos50°=sin(90°-50°)-cos50°

  • The angle (90°-50°)lies in the first quadrant and sine angle is positive is first quadrant. So, sin(90°-50°)=cos50°.
  • Substitute into the obtained equation.

cos50°-cos50°=0

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