TRIG
Graphing
Right Triangles
Vectors
Polars
100

sin(pi/2)

1

100
The amplitude of this equation 

y=4sin(2x)+5

4

100

In a right triangle, the side opposite angle X is 7 and the hypotenuse is 25. What is sin(X)?

7/25 OR 0.28

100
Subtract: (7+4i)-(2-5i)
5+9i
100

Find the rectangular coordinates of the polar point (3, pi/6)

(3root3/2 , 3/2)

200

cos(pi/6)

root 3 / 2

200

Name both transformations to this graph

y=1/3cosx+5

vertical stretch by 1/3

up 5


200
In a right triangle, the side opposite angle X is 7 and the hypotenuse is 25. What is cos(X)?
24/25 OR 0.96
200
Subtract: ⟨-4,3⟩ - ⟨-2,4⟩
<-2,-1>
200

Find the polar points of the rectangular coordinates (2, -2)

(root 8, 5pi/4)

300

tan(3pi/4)

-1

300

What is the period of the function?

f(x)=3sin(2x+4)-1

pi

300
sin(X)=3/4 Find cos(X) to three decimal places.
0.661
300
A vector points from (4,3) to (-7,-1). What are the components of the vector?
<-11,-4>
300

What shape is 3 cos(2x)

rose

400

sec(5pi/6)

-2/root 3

400
Find the phase (left or right) shift of the following function?


y=5cos(3(x-6))

Right 6

400

If cos(x)=9/15, what is csc(x)?

15/12

400

A plane is flying with a velocity vector of ⟨400,100⟩. The wind is blowing with a velocity vector of ⟨-100,50⟩. What is the plane’s resultant velocity? (magnitude)

335.410 mph

400

What is the max r value of 2+ 3 cos(x) 

5

500

csc(11pi/6)

-2

500

Find the phase (left or right) shift of the following function?

y=5cos(3x+6)

Left 2
500

In triangle ABC, the length of side a is 9, m∠A is 38°, and m∠C is 100°. Find the length of side c to the nearest hundredth.

Hint: Law of sines is sin(a)/a = sin(b)/b = sin(c)/c

14.40

500

What are the rectangular components of the vector with magnitude 8 and direction 57°? Round to two decimal places.

<4.36, 6.71>

500

What is the range of the following function?

4+3cos(x)

[1, 7]

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