This document defines six trigonometric ratios and their abbreviations. It provides examples of using trigonometric functions to solve for unknown sides and angles of right triangles. Specifically, it gives the definitions of sine, cosine, tangent, cosecant, secant, and cotangent. It also reviews trigonometric identities like SOH CAH TOA and provides 4 examples of using trigonometric functions and identities to solve right triangles.

1. Trigonometric ratios Sine sin Cosine cos Tangent tan Cosecant csc Secant sec Cotangent cot

3. SOH CAH TOA

5. Find the value of the six trigonometricfunctions for angleG. adj opp hyp = 40 opp = 24 adj = 32 hyp Example 1-1a

6. adj opp hyp Example 1-1b

7. If find the value of cscA. Example 1-2a

8. Special Triangles (page 703)

9. Find the value of x. Round to thenearest tenth. hyp opp or about 10.4 Example 1-3a

10. Solve XYZ. Round measures of sides to thenearest tenth and measuresof angles to the nearestdegree. z x Find Y 28 + 90 + Y = 180 Y = 62o hyp opp adj Example 1-4a

11. Solve XYZ. Round measures of sides to thenearest tenth and measuresof angles to the nearestdegree. z x Find x hyp opp adj

12. Solve XYZ. Round measures of sides to thenearest tenth and measuresof angles to the nearestdegree. z x hyp opp adj Find z 11 z Example 1-4a