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Unit circle application

100

This radian corresponds with 120 degrees.

What is 2pi/3?

200

This coordinate corresponds with sin(60).

What is the square root of 3 divided by 2?

300

These coordinates correspond where 90 degrees is negative.

What is (0,-1)?

Trig identities

100

There are 6 of these identities. 

What are reciprocal identities?

200

This trig identity is when tan(x) is changed to sin(x)/cos(x).

What is Quotient Identity?

300

sin² + cos² = 1 corresponds with this trig identity.

What is Pythagorean Identity?

Linear trig equations

100

Solve cos x = 0.

What is pi/2 and 3pi/2?

200

Solve csc (x) = -2. 

What is 7pi/6 and 11pi/6?

300

Solve tan x + square root of 3 = 0

What is 2pi/3 and 5pi/3?

Quadratic trig factoring

100

Solve tan²- tan = 0 for all angles.

What are 0 degrees, 180 degrees, 45 degrees, and 225 degrees?

200

Solve csc² - 4 = 0 for all angles.

What are 30 degrees, 150 degrees, 210 degrees, and 330 degrees?

300

Solve cos² + 9cos + 18 = 0 for all angles.

What is no solution?

Trig models

100

Find the amplitude of y = 2 sin(1/4x).

What is 2?

200

Label this equation f(x) = 4 cos(1/2(x-pi)) + 2 according to f(x) = a sin(b(x-c)) + d or f(x) = a cos(b(x-c)) + d.

What is a=4, b=1/2, c=pi, d=2, P=4pi?

300

Identify the changes in the graph from y = sin x to y = 2 sin(4x-pi/2) + 2.

What is amplitude = 2, period = pi/2, horizontal shift = pi/8, and vertical shift = 2?