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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 & 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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agenda for today

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

slide3

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.

slide4

5.2 & 5.3

The Trigonometric Functions we will be looking at

SINE

COSINE

TANGENT

slide6

SINE

Pronounced “sign”

slide7

COSINE

Pronounced “co-sign”

slide8

TANGENT

Pronounced “tan-gent”

slide9

Greek Letter q

Prounounced “theta”

Represents an unknown angle

slide10

hypotenuse

hypotenuse

opposite

opposite

adjacent

adjacent

slide12

Some

Old

Hippie

Came

A

Hoppin’

Through

Our

Old Hippie

Apartment

slide13

Sin

SOHCAHTOA

Opp

Hyp

Cos

Adj

Hyp

Tan

Opp

Adj

Old Hippie

slide15

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.

slide16

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.

Now, figure out your ratios.

ex 1 figure out which ratio to use find x round to the nearest tenth

20 m

20

55

)

tan

x

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

ex 2 find the missing side round to the nearest tenth

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.

ex 3 find the missing side round to the nearest tenth

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.

slide22
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

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).

ex 2 find round to three decimal places

7

23

)

2nd

cos

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

7

23

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

ex 3 find round to three decimal places

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 side we use sin cos or tan
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.

slide27

Class Work

WS Packet