UNIT 3: UNIT CIRCLE REVIEW WORKSHEET
Name: ____________________________________
Date: _________________
Period: ______
For #1-2, find all 6 trig functions for:
1.)
7𝜋
2.)
4
sin
cos
tan
7𝜋
=
csc
7𝜋
7𝜋
=
4
sec
7𝜋
cot
7𝜋
4
7𝜋
4
=
4
4
4
4𝜋
3
=
sin
=
cos
=
tan
4𝜋
=
csc
4𝜋
4𝜋
=
3
sec
4𝜋
cot
4𝜋
3
4𝜋
3
=
3
3
3
=
=
=
1
3.) Find 𝜃 if Cos 𝜃 = 2 and 𝜃 lies in Quadrant IV.
4.) Re-write the following in degrees:
a.)
11𝜋
b.)
6
5.) Evaluate: sin
2𝜋
3
−17𝜋
6
6.) What is the reference angle for 240°? Put your answer in degrees and in radians.
7.) Evaluate sin, cos, and tan -150° without a calculator.
8.) Evaluate csc
9.) Evaluate cot
10.)
−3𝜋
2
−𝜋
2
a.) List two angles coterminal to −120°.
b.) Convert all three degree measures above to radians.
c.) Determine the sine, cosine, secant, cosecant, tangent, and cotangent of all three angles above.
CHALLENGE : Find the values of the 6 trig functions of 𝜃 with the given constraint:
3
If sin 𝜃 = 8 and cot 𝜃 is negative. HINT: Use a triangle instead of a unit circle.
UNIT 3: UNIT CIRCLE REVIEW WORKSHEET
Name: ____________________________________
Date: _________________
Period: ______
For #1-2, find all 6 trig functions for:
1.)
7𝜋
2.)
4
sin
cos
tan
7𝜋
=
csc
7𝜋
7𝜋
=
4
sec
7𝜋
cot
7𝜋
4
7𝜋
4
=
4
4
4
4𝜋
3
=
sin
=
cos
=
tan
4𝜋
=
csc
4𝜋
4𝜋
=
3
sec
4𝜋
cot
4𝜋
3
4𝜋
3
=
3
3
3
=
=
=
1
3.) Find 𝜃 if Cos 𝜃 = 2 and 𝜃 lies in Quadrant IV.
4.) Re-write the following in degrees:
a.)
11𝜋
b.)
6
5.) Evaluate: sin
2𝜋
3
−17𝜋
6
6.) What is the reference angle for 240°? Put your answer in degrees and in radians.
7.) Evaluate sin, cos, and tan -150° without a calculator.
8.) Evaluate csc
9.) Evaluate cot
10.)
−3𝜋
2
−𝜋
2
a.) List two angles coterminal to −120°.
b.) Convert all three degree measures above to radians.
c.) Determine the sine, cosine, secant, cosecant, tangent, and cotangent of all three angles above.
CHALLENGE : Find the values of the 6 trig functions of 𝜃 with the given constraint:
3
If sin 𝜃 = 8 and cot 𝜃 is negative. HINT: Use a triangle instead of a unit circle.