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

UNIT QUESTION: What patterns can I find in right triangles? 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 5.2 & 5.3 The Trigonometric Functions we will be looking at SINE COSINE TANGENT

The Trigonometric Functions SINE COSINE TANGENT

SINE Pronounced “sign”

COSINE Pronounced “co-sign”

Pronounced “tan-gent”

Represents an unknown angle Greek Letter q Prounounced “theta” Represents an unknown angle

hypotenuse hypotenuse opposite opposite adjacent adjacent

We need a way to remember all of these ratios…

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

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

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.)

10.8 9 A 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 6 Shrink yourself down and stand where the angle is. Now, figure out your ratios.

24.5 8.2 23.1 Find the sine, the cosine, and the tangent of angle A Give a fraction and decimal answer (round to 4 decimal places). 8.2 A 23.1 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 2nd button and one of the trig buttons.)

Ex. 1: Find . Round to four decimal places. tan 17.2 9 ) 17.2 9 Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem. Make sure you are in degree mode (not radians).

Ex. 2: Find . Round to three decimal places. 7 2nd cos 7 23 ) 23 Make sure you are in degree mode (not radians).

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

Homework Trig Ratios WS