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Mathematics > Course Model Mathematics III (Integrated Pathway) > Trigonometric Functions
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Mathematics | Course : Model Mathematics III (Integrated Pathway)

Domain - Trigonometric Functions

Cluster - Prove and apply trigonometric identities.

[MIII.F-TF.C.8] - 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.

Resources:

    Predecessor Standards:

    • 8.G.B.7
      Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

    Successor Standards:

    No Successor Standards found.

    Same Level Standards:

    • MII.G-SRT.C.6
      Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
    • MIII.F-TF.A.2
      Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
    • PC.F-TF.C.9
      (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.
    • AQR.F-TF.C.9
      (+) Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.