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# Pythagorean & Quotient Identities

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In this lesson, we will learn about the Pythagorean Identities, the Quotient Identities, and the ranges of trigonometric functions. The Pythagorean identities tell us that sin

^{2}θ + cos^{2}θ = 1, tan^{2}θ + 1=sec^{2}θ, and 1 + cot^{2}θ = csc^{2}θ. Additionally, the Quotient Identities tell us that sin θ / cos θ = tan θ and cos θ / sin θ = cot θ. Lastly, we will learn about the ranges of trigonometric functions. For sin θ and cos θ, the value must be from -1 to 1, for tan θ and cot θ, the value can be any real number, and for sec θ and csc θ, the value can be any real number whose absolute value is 1 or larger.Pythagorean & Quotient Identities Resources:

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