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Mathematics > Course Model Mathematics II (Integrated Pathway) > Similarity, Right Triangles, and Trigonometry
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Mathematics | Course : Model Mathematics II (Integrated Pathway)

Domain - Similarity, Right Triangles, and Trigonometry

Cluster - Define trigonometric ratios and solve problems involving right triangles.

[MII.G-SRT.C.7] - Explain and use the relationship between the sine and cosine of complementary angles.

Resources:


  • Cosine
    A trigonometric function that for an acute angle is the ratio between a leg adjacent to the angle when the angle is considered part of a right triangle and the hypotenuse.
  • Sine (of an acute angle)
    The trigonometric function that for an acute angle is the ratio between the leg opposite the angle when the angle is considered part of a right triangle and the hypotenuse.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MII.G-CO.C.10
    Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent, and conversely prove a triangle is isosceles; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
  • 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.
  • MII.G-SRT.C.8
    Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
  • PC.F-TF.A.3
    (+) 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.
  • PC.F-TF.A.4
    (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
  • AQR.F-TF.A.3
    (+) 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.
  • AQR.F-TF.A.4
    (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.