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# Find the missing measures. Write all answers in radical form . - PowerPoint PPT Presentation

Warm – up . Find the missing measures. Write all answers in radical form . . x. 30 °. 30 . 10. z. 45 . 3. 60 . y. 45 . 60 °. y. Wed More 5.2 &amp; 5.3 and 5.4 . Agenda for today. Notes SOHCAHTOA CW/HW. Thur Sect 5.4 cont and applications. Fri Test Unit #4.

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Warm – up

x

30°

30

10

z

45

3

60

y

45

60°

y

Wed

More 5.2 & 5.3 and 5.4

Agenda for today
• Notes SOHCAHTOA
• CW/HW

Thur

Sect 5.4 cont and applications

Fri

Test Unit #4

Date: 09/29/09Questions over hw?Standards:MA2G2:a: Discover the relationship of the trigonometric ratios for similar triangles.Students will define and apply sine, cosine, and tangent ratios to right triangles.

5.2 & 5.3

The Trigonometric Functions we will be looking at

SINE

COSINE

TANGENT

SINE

Pronounced “sign”

COSINE

Pronounced “co-sign”

TANGENT

Pronounced “tan-gent”

Greek Letter q

Prounounced “theta”

Represents an unknown angle

hypotenuse

hypotenuse

opposite

opposite

Some

Old

Hippie

Came

A

Hoppin’

Through

Our

Old Hippie

Apartment

Sin

SOHCAHTOA

Opp

Hyp

Cos

Hyp

Tan

Opp

Old Hippie

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.

Find the sine, the cosine, and the tangent of angle A

24.5

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.

20 m

20

55

)

tan

x

Shrink yourself down and stand where the angle is.

Now, figure out which trig ratio you have and set up the problem.

80 ft

80

(

72

=

)

)

tan

x

Ex: 2 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.

283 m

x

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.

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

17.2

9

)

2nd

tan

Ex. 1: Find . Round to four decimal places.

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).

7

23

)

2nd

cos

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

7

23

Make sure you are in degree mode (not radians).

200

400

)

2nd

sin

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

200

400

Make sure you are in degree mode (not radians).

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

When we are trying to find an angle

we use sin-1, cos-1,ortan-1.

Class Work

WS Packet