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**The Trigonometric Functions we will be looking at**

SINE COSINE TANGENT

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**The Trigonometric Functions**

SINE COSINE TANGENT

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SINE Pronounced “sign”

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COSINE Pronounced “co-sign”

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**Pronounced “tan-gent”**

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**Represents an unknown angle**

Greek Letter q Prounounced “theta” Represents an unknown angle

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hypotenuse hypotenuse opposite opposite adjacent adjacent

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**We need a way to remember all of these ratios…**

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

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

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

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**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.

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**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.

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**Finding a side. (Figuring out which ratio to use and getting to use a trig button.)**

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**Ex: 1. Figure out which ratio to use. Find x**

Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. 20 m x Shrink yourself down and stand where the angle is. tan 20 55 ) Now, figure out which trig ratio you have and set up the problem.

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**Ex: 2 Find the missing side. Round to the nearest tenth.**

80 ft x tan 80 ( 72 ) ) = Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

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**Ex: 3 Find the missing side. Round to the nearest tenth.**

Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

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**Ex: 4 Find the missing side. Round to the nearest tenth.**

20 ft x

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

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**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).

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**Ex. 2: Find . Round to three decimal places.**

7 2nd cos 7 23 ) 23 Make sure you are in degree mode (not radians).

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**Ex. 3: Find . Round to three decimal places.**

200 400 2nd sin 200 400 ) Make sure you are in degree mode (not radians).

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**When we are trying to find a side we use sin, cos, or tan.**

When we are trying to find an angle we use sin-1, cos-1, or tan-1.

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Trigonometric Ratios A RATIO is a comparison of two numbers. For example; boys to girls cats : dogs right : wrong. In Trigonometry, the comparison is between.

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