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Chapter 8: Q. 2 (page 555)

Find the exact value ofsin40掳-cos50掳.

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掳-cos50掳.

02

Step 2. Simplify

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

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

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

cos50掳-cos50掳=0

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