AP Precalc Review 3.8-3.12

Front

What is a Pythagorean identity?

Back

A Pythagorean identity is a fundamental relation between the sine and cosine functions, expressed as sin²x + cos²x = 1.

Front

Which of the following is NOT a Pythagorean identity? sin²x + cos²x = 1, 1 - cos²x = sin²x, 1 - sin²x = cos²x, sin²x - cos²x = -1

Back

sin²x - cos²x = -1 is NOT a Pythagorean identity.

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Front

What is the relationship between sine and cosine in the Pythagorean identity?

Back

The Pythagorean identity states that the square of the sine of an angle plus the square of the cosine of the same angle equals one: sin²x + cos²x = 1.

Front

What is the value of cos²x in terms of sin²x?

Back

cos²x = 1 - sin²x.

Front

What is the value of sin²x in terms of cos²x?

Back

sin²x = 1 - cos²x.

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What is the definition of cotangent in terms of sine and cosine?

Back

cotangent is defined as the ratio of cosine to sine: cotθ = cosθ/sinθ.

Front

What is the range of values for cosθ when cosθ ≥ -√2/2?

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