Notes - Trigonometry *I can solve right triangles in real world situations using sine, cosine and tangent. *I can solve right triangles in real world situations using inverse sine,cosine and tangent.

Understanding Opp, Adj, & Hyp In order to understand how to use the trigonometric functions of sine, cosine, and tangent you must understand opp, adj, and hyp

A C B Opposite Side Adjacent Side Hypotenuse (hyp) (opp) (adj)

A C B Opposite Side Adjacent Side Hypotenuse (hyp) (opp) (adj)

Three basic trig functions: Sine, Cosine and Tangent

SOHCAHTOA

SOH Sin A = Opposite Hypotenuse

A C B This is what a problem using sine would look like. X 12 m 42 You would set the problem up like this: Sin A = Sin 42 = opp hyp x 12

SOHCAHTOA CAH Cos A = Hypotenuse Adjacent

A C B This is what a problem using cosine would look like. X 9 m 38 You would set the problem up like this: cos A = cos 38 = adj hyp x 9

SOHCAHTOA TOA Tan A = Opposite Adjacent

A C B This is what a problem using cosine would look like. X 11 m 52 You would set the problem up like this: tan A = tan 52 = opp adj 11 x

Some Old Horse Caught A Horse Taking Oats Away

Example 4: Solve for x. a)Which trig ratio is needed to solve for x? b)Determine opp, adj, & hyp. c)Write the equation and solve. R S T x 10 25

Example 5: Solve for x. a)Which trig ratio is needed to solve for x? b)Determine opp, adj, & hyp. c)Write the equation and solve. J K L x 26 75

A C B Example 3: Solve for x. X 9 m 44

A C B Example 2: Solve for x. X 23 m 64

A C B Example 1: Solve for x. X 25 m 34