Precalc Battle

Angles & Quadrants

100

Determine the Quadrant for each angle:

1) 320^*

2) - pi/4

1) Quadrant 4

2) Quadrant 4

200

True or False: If cot θ > 0 and csc θ > 0, then θ lies in Quadrant III.

False

300

Determine the Quadrant for each angle:

 9pi/4

Quadrant 1

400

What quadrant is θ in if sec θ > 0 and tan θ < 0?

Quadrant 4

500

Given cos θ = -4/5 and tan θ < 0, find cot θ.

-4/3

Finding exact values (terminal points as well)

100

cos(570^*)

- sqrt 3/ 2

200

cos ( 19pi/6 )

 - sqrt 3/ 2

300

tan( -5pi/3 )

sqrt 3

400

csc ( - pi/2 )

-1

500

Find the reference number and terminal point determined by:

t = 11pi/6

reference number = pi/6

terminal point = (sqrt 3 /2 , -1/2)

Trig Graphs (warm up)

100

What is the period of csc and cos?

2pi

200

How do we find the Vertical Asymptote for a cot graph?

set whatever is inside the function to 0 and pi and solve for x

300

How do we find the period of cot?

pi/k

400

What is the period of :

csc(x/2 - pi)

pi

500

How do we find the Verical asymptote for a tan graph?

Set whatever is inside the function to -pi/2 and pi/2

Finding missing other trig functions

100

What is the reciprocal of tan(x)?

1/tan(x)

OR

cot(x)

200

What is the reciprocal of sec(p)?

1/cos(p)

300

Find sin(x) if the adjacent side to x has length of 2 and the side opposite x has length 7.

7 / sqrt 53

400

Find the values of the trig functions given the ff:

sec (x) = -2 and tan(x) > 0

cos(x) = -1/2

sin(x) = - sqrt 3/ 2

csc(x) = -2/sqrt 3

tan(x) = sqrt 3

cot(x) = 1/ sqrt 3

500

A person flying a kite holds the kite string at ground level, and estimates the angle of elevation to be 30^*.

If the string of the string wire is 140 feet long, how high is the kite above the ground?

140sin(30^*)

OR

70feet