Trig Functions
Reference Angles
Solve for 0 ⪯ x ⪯ 2π
Degrees/ Radians
True or False
100

What quadrant(s) can sine be located in?

Quadrant 1 and 2

100

What is the reference angle for sin 150°?

30°

100

Solve 3 sin(x)+5=0

No solution

100

What is 0°/360° equivalent to?


0

100

The coordinates of P can be shown as (tanϴ, cosϴ).

False, it can be written as (cosϴ, sinϴ).

200

What quadrant(s) can tangent be located in?

Quadrant 1 and 3

200

What is the reference angle for tan 240°?

60°

200

2 cos (x)-1 = 0

x= π/3

x= 5π/3

200

What is 30° equivalent to?

π/6

200

Cosine is only located in quadrant 3.

False, cosine is located in quadrant 1 and 4.

300

What phrase is used to remember what quadrants the functions are positive in?

"All Students Take Calculus"

300

What is the reference angle for sec 300°?

60°

300

cos2 (x)=1

x= 0, π and 2π

300

What is 45° equivalent to?

π/4

300

All trig functions can be located in quadrant 1.

True

400

If tan ϴ > 0, which quadrant(s) could the terminal side of ϴ lie?

Quadrant 1 or 3

400

What is the reference angle for cot 315°?

45°

400

3cos(x)= -1

x= 1.911

400

What is 180° equivalent to?

π

400

In quadrant 4, x is positive and y is negative.

True

500

If sec ϴ < 0, which quadrant(s) could the terminal side of ϴ lie?

Quadrant 2 or 3

500

What is the reference angle for sec π/2?

None needed.

500

3 tan(x)- √3 =0

x =π/6 and 7π/6

500

What is 270° equivalent to?

3π/2

500

In quadrant 2, x and y are both positive.

False, x is negative and y is positive.

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