What's my quadrant?
Angling
Point of Reference
Finding my identity
Riding the Waves
100

This is the quadrant where sin(theta) < 0 and cos(theta) < 0.

What is Quadrant III?

100

Suppose (12, 16) is a point on the terminal side of an angle in standard position.  This is the value of tan of the angle.

What is 4/3?

100

This is the reference angle for 330 degrees.

What is 30 degrees?

100

This is the single trig function that csc(x)tan(x) reduces down to.

What is sec(x)?

100

This is the amplitude for y = 5sin(x).

What is 5?

200

This is the quadrant where sec(theta) > 0 and tan(theta) < 0.

What is Quadrant IV?

200

Suppose (3, -4) is a point on the terminal side of an angle in standard position.  This is the value of sin of the angle.

What is -4/5?

200

This is the reference angle for 5pi/4 radians.

What is pi/4 radians?

200

This is the single trig function that tan(x)cos(x) reduces down to.

What is sin(x)?

200

This is the period for y = cos(4x).

What is pi/2?

300

This is the quadrant where csc(x) > 0 and cot(x) > 0.

What is Quadrant I?

300

Suppose (-7, 2) is a point on the terminal side of an angle in standard position.  This is the value of sec of the angle.

What is -7/sqrt(53) (or -7sqrt(53)/53)?

300

This is the reference angle for 635 degrees.

What is 85 degrees?

300
This is the trig function (it will be squared) that (1 + sin x)(1 - sin x) reduces down to.

What is (cos x)^2?

300

This is the phase shift for y = cos(x + pi/5) + 2.

What is -pi/5?

400

This is the quadrant for the angle 9pi/13 radians.

What is Quadrant II?

400

Suppose sec(theta) = 6/5 and tan(theta) < 0.  This is the value of tan(theta).

What is -sqrt(11)/5?

400

This is the third quadrant angle where sin(theta) = -0.988.

Calc Active!

What is 261 degrees?

400
For this angle theta in the 1st quadrant, sin(theta) = -sin(240 degrees).

What is 60 degrees?

400
What is the equation for the graph of a cosine function with a vertical stretch of 7 and a period of 4pi?

What is y = 7cos(0.5x)?

500

This is the quadrant for -458 degrees.

What is Quadrant III?

500

Suppose sin(theta) = 3/8 and cos(theta) < 0.  This is the value of cos(theta).

What is -sqrt(55)/8?

500

This is the 4th quadrant angle theta where cos(theta)=1/2.

What is 300 degrees?

500

We know cos(75 degrees) = 0.259.  That means cos(105 degrees) = this value.

What is -0.259.
500

Name the equation for the graph of a sine function with a reflection in the x-axis, horizontal shift right pi/2 and vertical shift up of 2.

What is -sin(x - pi/2) + 2