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Chapter 6: Problem 12

Verify the identity. $$\sec y \cos y=1$$

Short Answer

Expert verified
The identity \( \sec y \cos y = 1 \) is verified.

Step by step solution

01

Write Down the Given Identity

The given identity is \( \sec y \cos y = 1 \).
02

Rewrite the Secant

Using the identity of secant, which is \( \sec y = 1/\cos y\), rewrite the equation as \( (1/\cos y) \cos y = 1 \).
03

Simplify the Expression

The cosine in the numerator and denominator will cancel out, leaving \(1=1\).
04

Conclusion

As both sides of the equation have equal values and the identity holds true, the identity \( \sec y \cos y = 1 \) is thus verified.

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