The Trigonometric Functions SINE COSINE TANGENT

SINE Pronounced “sign”

Pronounced “co-sign” COSINE

Pronounced “tan-gent” TANGENT

Prounounced “theta” Greek Letter  Represents an unknown angle

opposite hypotenuse adjacent hypotenuse opposite adjacent

We need a way to remember all of these ratios…

Remember: SOH CAH TOA Sin < = Opp/Hyp Cos < = Adj/Hyp Tan < = Opp/Adj

Finding sin, cos, and tan. (Just writing a ratio or decimal.)

Examples of Trig Ratios Q P

Examples of Trig Ratios P First we will find the Sine, Cosine and Tangent ratios for Angle P. Opposite Adjacent Remember: SOHCAHTOA

Examples of Trig Ratios Q P Next we will find the Sine, Cosine, and Tangent ratios for Angle Q Opposite Adjacent Remember: SOHCAHTOA

Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places) A Shrink yourself down and stand where the angle is. Now, figure out your ratios.

Find the sine, the cosine, and the tangent of angle A A Give a fraction and decimal answer (round to 4 decimal places). Shrink yourself down and stand where the angle is. Now, figure out your ratios.

Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons.)

Ex. 1: Find . Round to four decimal places Make sure you are in degree mode (not radians). 2 nd tan 17.29) Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

Ex. 2: Find . Round to three decimal places Make sure you are in degree mode (not radians). 2 nd cos 723)

Ex. 3: Find . Round to three decimal places Make sure you are in degree mode (not radians). 2 nd sin )