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Title: Trigonometric Functions LEQ: What are the trigonometric functions and how are they used to solve right triangles? The Trigonometric Functions SINE COSINE TANGENT Trigonometry: SIN COS or SOHCAHTOA These functions are ONLY used with RIGHT Triangles!!! TAN First identify the sides of the triangle SOHCAHTOA The longest side is called the… Hypotenuse. The side opposite to the angle is called the… Opposite. The remaining side is the… HYP Adjacent x ADJ OPP SINE Prounounced “sign” COSINE Prounounced “co-sign” TANGENT Prounounced “tan-gent” Greek Letter q Prounounced “theta” Represents an unknown angle Opp Sin Hyp hypotenuse Adj Cos Hyp Opp Tan Adj q adjacent opposite opposite SOHCAHTOA Sinq Opp Hyp Adj Cosq Hyp 8 10 4 5 10 8 3 6 10 5 q Opp 8 4 Tanq Adj 6 3 6 Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 10.8 9 A 9 opp sin A hypo 10.8 .8333 adj 6 cos A hypo 10.8 .5555 6 opp tan A adj 9 6 1.5 We need a way to remember all of these ratios… Some Old Hippie Came A Hoppin’ Through Our Old Hippie Apartment SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj