# Find the missing measures. Write all answers in radical form. 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 

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Find the missing measures. Write all answers in radical form. 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 

Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: What is a trigonometric ratio? Standard: MM2G2.a,b

The Trigonometric Functions we will be looking at SINE COSINE TANGENT 5.2 & 5.3

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

We need a way to remember all of these ratios…

Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

Or there’s the famous Indian Chief, Chief SOH CAH TOA Sin = Opp/Hyp Cos = Adj/Hyp Tan = Opp/Adj

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

Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 9 6 10.8 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 24.5 23.1 8.2 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. 9 17.2 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. 23 7 Make sure you are in degree mode (not radians). 2 nd cos 723)

Ex. 3: Find . Round to three decimal places. 400 200 Make sure you are in degree mode (not radians). 2 nd sin 200400)

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