Trig and Transformation Review

Transformation

• Translation move gives you direction and amount

• Reflection flip x/y axis count boxes• Rotation spin– R90 (-y,x)– R180(-x,-y)– R270(y,-x)

• Dilation shrink or enlarge multiply/divide by scale factor

oppositehypotenuse

SinOpp

Hyp

Leg

adjacent

CosAdj

Hyp

Leg

TanOpp

Adj

Leg

Leg

hypotenuseopposite

adjacent

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

Give a fraction and decimal answer (round to 4 places).

hyp

oppAsin

8.10

9 8333.

hyp

adjAcos

8.10

6 5556.

adj

oppAtan

6

9 5.1

9

6

10.8

A

Shrink yourself down and stand where the angle is.

Now, figure out your ratios.

Finding a side.(Figuring out which ratio to use

and getting to use a trig button.)

Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth.

5520 m

x

20

55tanx

m 6.28x

x55tan20tan 20 55 )

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.)

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

9

17.2

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

9

2.17tan

2nd tan 17.2 9

3789.62

)

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).

23

7cos

2nd cos 7 23

281.72

)

Solve A ladder leans against a building. The foot of the ladder is 6 feet from the building. The ladder reaches a height of 14 feet on the building.

Find the length of the ladder to the nearest foot.

Find to the nearest degree, the angle the ladder makes with the ground

Solve

A ladder 6 feet long leans against a wall and makes an angle of 71º with the ground. Find to the nearest tenth of a foot how high up the wall the ladder will reach.