Download Math 113 Quiz 6 Name For #1-3, fill in the missing part of each

Math 113 Quiz 6
Name ______________________________
For #1-3, fill in the missing part of each Identity Equation.
1. Pythagorean identities: Complete the common identity by filling in the blanks.
sin 2   cos2   ___________
tan 2   1  ____________
cot 2   1  ____________
2. Quotient identities: Express each function in terms of a quotient involving sin  and cos  .
tan   ___________
cot   ____________
3. Reciprocal identities: Express each function in terms of its reciprocal function.
sin   ____________
cos   ____________
tan   ____________
csc   ____________
sec   ____________
cot   ____________
4. Write the radian measures using degrees.
a)
4
 ______
3
b)
3
 ______
2
c)
7
 _______
12
5. Write the degree measures using radians.
a) 150  ______
b) 90  ______
c) 435  _______
6. Find the reference angle,  , for each of the given angles.
2
,   ______
3
a) 150 ,   ______
b)
d ) 85 ,   ______
e) 351 ,   ______
c)
7
,   _______
4
f)
23
,   _______
4
7. Find a co-function with the same value as the given expression.
sin19  ___________
tan
3
 ____________
8
8. Complete the Triangle (find all three angles and all three side lengths). Round angles to nearest degree. Round side
lengths to 2 decimals.)
B
c
A
A=
a = 16m
23
C
b
B=
C=
a=
b=
c=
9. Find the unknown side in each right triangle. Then find the value of each trig function.
B
c=17
a
θ
C
A
b=15
Side length
sin θ =
cos θ =
tan θ =
sec θ =
csc θ =
cot θ =
a = _______
10. Use your calculator and a trigonometric function to find the missing side. Show your work.
B
i)
B
ii)
13 m
a=?
23 yd
34⁰
A
44⁰
C
A
b=?
C
11. A point on the terminal side of angle θ is P, (-3, 5). Find the exact value of each trig function of θ.
sin t =
cos t=
tan t =
csc t =
cot t =
sec t =
12. θ is an angle in standard position. Find the exact value of the remaining trig functions.
tan  
sin θ=
5
, cos   0
12
cos θ =
csc θ=
cot θ=
sec θ=