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Trigonometric Reference Sheet

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Susan Ball
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Grade Levels
10th - 12th
Standards
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Susan Ball
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Description

Complete Trigonometric Reference Sheet with Unit Circle

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Standards

to see state-specific standards (only available in the US).
Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–𝘹, π+𝘹, and 2π–𝘹 in terms of their values for 𝘹, where 𝘹 is any real number.
Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

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