Unit 6 Test Review
Write the numbers 1 to 10 on a
blank piece of paper.
Instructions
There are 10 multiple choice questions.
Do not copy out the questions just do them.
The questions and answers are available on classnet.
Try to do the questions before you look at the possible
answers.
There will be no multiple choice questions on the real test
but these questions represent many of the types of
questions that could appear on the test.
1) Would you use Sin Law, Cos Law or SOH CAH TOA?
a) Sin Law
b) Cos Law
c) Right Angle Trig
d) Cos Law then Sin Law
e) Sin Law then Cos Law
2) What formula should you use?
a) Sin Law
b) Cos Law
c) SOH CAH TOA
d) Pythagorean Theorem
e) All of the above
3) What is the value of angle C?
a) 10.50
b) 97.30
c) 900
d) 82.70
e) 620
4) What is the value of angle B?
a) 15.70
b) 36.00
c) 36.80
d) 73.20
e) 70.00
5) Will there be questions on the test where you have to draw
the diagram?
a) Yes, every question will require this.
b) No, it is too hard so it won’t be on the test.
c) Maybe, depends on if you get version A or B of the test
d) No, every diagram will be drawn for me.
e) Yes, but there will also be questions where the
diagram is provided.
6) What is the exact value of cos(210) ?
a) -0.866024503
b)
− 3
2
c)
3
2
d)
−1
2
e)
−1
2
7) Determine the exact value of tan 60
a)
3 2−1
2
b)
3−
1
2
c) 2.292893219
d) 3 −
1
2
e) Both a and d
2
− sin 45
8) Determine the value of x using exact values.
(Don’t use your calculator)
a) 4 3
b) 2
c)
16
3
d) 16
e)
3
2
9) Solve sec 2𝑥 = −2
a) 120 , 240, 300
b) 120 , 240
c) 60 , 120
d) 240
e) 60, 120, 240, 300
if 00 ≤ 𝑥 ≤ 3600
10) Which identities do I have to know and be able to use to
prove other identities?
a) tan 𝜃 =
sin 𝜃
cos 𝜃
b) 𝑠𝑖𝑛2 𝜃 + 𝑐𝑜𝑠 2 𝜃 = 1
c) 𝑐𝑜𝑠 2 𝜃 = 1 − 𝑠𝑖𝑛2 𝜃
d) 𝑠𝑖𝑛2 𝜃 = 1 − 𝑐𝑜𝑠 2 𝜃
e) All of the above
Unit 6 Test Review
ANSWERS
1) Would you use Sin Law, Cos Law or SOH CAH TOA?
a) Sin Law
b) Cos Law
c) Right Angle Trig
d) Cos Law then Sin Law
85
e) Sin Law then Cos Law
sin 65 sin 85
=
𝑥
10
2) What formula should you use?
a) Sin Law
b) Cos Law
c) SOH CAH TOA
d) Pythagorean Theorem
e) All of the above
6
sin 𝐴 =
10
3) What is the value of angle C?
a) 10.50
b) 97.30
c) 900
d) 82.70
252 = 152 + 222 − 2 15 22 cos 𝐶
252 − 152 − 222
cos 𝐶 =
−2(15)(22)
e) 620
𝐶 = cos −1
𝐶 = 82.7
−84
−660
4) What is the value of angle B?
15.7
a) 15.70
b) 36.00
c) 36.80
d) 73.20
e) 70.00
𝑎2 = 102 + 162 − 2 10 16 cos 70
𝑎2 = 246.55 … … … .
𝑎 = 15.7
sin 70 sin 𝐵
=
15.7
10
𝐵 = 𝑠𝑖𝑛−1
𝐵 = 36.8
10sin 70
15.7
5) Will there be questions on the test where you have to draw
the diagram?
a) Yes, every question will require this.
b) No, it is too hard so it won’t be on the test.
c) Maybe, depends on if you get version A or B of the test
d) No, every diagram will be drawn for me.
e) Yes, but there will also be questions where the
diagram is provided.
6) What is the exact value of cos(210) ?
a) -0.866024503
b)
− 3
2
c)
3
2
d)
e)
−1
2
−1
2
2100
𝟑
300
1
2
𝐴
cos is 𝐻 and is
negative in quad 3
2
7) Determine the exact value of tan 60
a)
3 2−1
2
b)
3−
1
2
=
2
3
c) 2.292893219
e) Both a and d
You have to be able to
simplify exact values.
=
3 2
2
−
2
2
1
2
=
1
1
=3−
d) 3 −
− sin 45
−
3 2−1
2
1
2
8) Determine the value of x use exact values.
(Don’t use your calculator)
a) 4 3
b) 2
c)
16
3
d) 16
e)
3
2
cos 𝜃 =
𝐴
𝐻
8
cos 30 =
𝑥
3 8
=
2
𝑥
3𝑥 = (2)(8)
𝑥=
16
3
9) Solve sec 2𝑥 = −2
if 00 ≤ 𝑥 ≤ 3600
a) 120 , 240, 300
b) 120 , 240
c) 60 , 120
d) 240
e) 60, 120, 240, 300
Solution on next slide
9) Solve sec 2𝑥 = −2
2
600
cos 2𝑥 =
−1
2
cos 𝜃 =
−1
2
𝜃
𝜃
1
600
𝑝𝑒𝑟𝑖𝑜𝑑 = 180
θ = 120
θ = 240
2𝑥 = 120
2𝑥 = 240
𝑥 = 60
if 00 ≤ 𝑥 ≤ 3600
𝑥 = 120
𝑥 = 60 + 180
𝑥 = 120 + 180
𝑥 = 240
𝑥 = 300
10) Which identities do I have to know and be able to use to
prove other identities?
a) tan 𝜃 =
sin 𝜃
cos 𝜃
b) 𝑠𝑖𝑛2 𝜃 + 𝑐𝑜𝑠 2 𝜃 = 1
c) 𝑐𝑜𝑠 2 𝜃 = 1 − 𝑠𝑖𝑛2 𝜃
d) 𝑠𝑖𝑛2 𝜃 = 1 − 𝑐𝑜𝑠 2 𝜃
e) All of the above
You will (most likely) have seen the
identities you have to prove before.
This slide show is on Classnet
You should review the questions you got wrong before the test.
These questions are a good sample of the types of questions on the test.
There are NO MULTIPLE CHOICE questions on the test.