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QuizMultiple Choice

Evaluating the Six Trigonometric Functions — Quiz

Question 1 • Precalculus

Which Pythagorean identity is correct?

Answer
A
1 minus cosine squared of theta is equal to tangent squared of theta
B
tangent squared of theta plus 1 is equal to secant squared of theta
C
sine squared of theta plus 1 is equal to cosine squared of theta
D
1 minus cotangent squared of theta is equal to cosecant squared of theta

Explanation

The Pythagorean identity involving tangent and secant is tan²(θ) + 1 = sec²(θ). Therefore, choice B, “tangent squared of theta plus 1 is equal to secant squared of theta,” is correct. The other choices do not match the standard identities: for example, 1 − cos²(θ) equals sin²(θ), not tan²(θ).

AI-written and checked against the verified answer.

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