Curriculum Geometry B/ Algebra II
UNIT 3: RIGHT TRIANGLE TRIGONOMETRY
RIGHT TRIANGLE RELATIONSHIPS |
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MGSE9-12.G.SRT.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.
MGSE9-12.G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
MGSE9-12.G.SRT.8 Use trigonometric ratios and the Pythagorean theorem to solve right triangles in applied problems.
MGSE9-12.G.SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.
MGSE9-12.G.SRT.8 Use trigonometric ratios and the Pythagorean theorem to solve right triangles in applied problems.
KEY IDEAS
- The trigonometric ratios sine, cosine, and tangent are defined as ratios of the lengths of the sides in a right triangle with a given acute angle measure. These terms are usually seen abbreviated as sin, cos, and tan.
- The two acute angles of any right triangle are complementary. As a result, if angles P and Q are complementary, sin P = cos Q and sin Q = cos P.
- When solving problems with right triangles, you can use both trigonometric ratios and the Pythagorean theorem (a² + b² = c²). There may be more than one way to solve the problem, so analyze the given information to help decide which method is the most efficient.
- The tangent of angle A is also equivalent to sin(A) / cos(A).
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RESOURCES |
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special_right_tris_WS.pdf | |
File Size: | 36 kb |
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