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pre-calc final

Total questions: 15

Worksheet time: 38mins

Name
Class
Date
1.

which one of these is NOT an identity?

a)

sin (-θ)=-sinθ

b)

cos(-θ)=cosθ

c)

cot(-θ)=cotθ

d)

sec(-θ)=secθ

2.

solve for cos pi/12

use this formula cos x= sin (pi/2 -x)

a)

sin 5pi/12

b)

sin - 5pi/12

c)

cos 5/12pi

d)

csc 12/5pi

3.

solve for sin 5pi/8

use this formula sin x = cos(pi/2-x)

a)

cos (pi/8)

b)

cos(-pi/8)

c)

sin (8pi)

d)

csc (8/pi)

4.

cos (0+θ)

use cosine sum formula cos(x+y)=cos x cos y - sin x sin y

a)

cos-θ

b)

sinθ

c)

cot2θ

d)

cosθ

5.

cos 140= cos 60 cos 80 - sin 60 sin 80

True or False??

a)

false

b)

true

6.

sin (θ-pi/2)=cosθ true or false?

use cos x = sin (pi/2 - x)

a)

false

b)

true

7.

cot (θ-10)= tan (2θ+20) solve for θ

sum of 2 angles θ and (90-θ) is 90 degrees

a)

40 degrees

b)

-36 degrees

c)

42 degrees

8.

find the cot of tan 87

a)

cot 4

b)

cos 14

c)

cot 3

d)

cot -7

9.

cos (90-x)=

a)

cos x - cos y

b)

cos x cos y - sin x sin y

c)

sin x

10.

find sin s csc s = -8/5

a)

5/8

b)

1/ 8/5

c)

-5/8

11.

find 5 trigonometric functions of θ

cos θ= 1/5 θ is in quadrant 1

a)

sin θ=2√6/5 tan θ= 2√6 csc θ= 5/ 2√6 secθ= 5 cot θ= 1/2√6

b)

sin θ=2√6/5 tan θ= -2√6 csc θ= 4/ 2√6 secθ= -5 cot θ= 1/2√5

c)

sin θ=2√6/5 tan θ= 2√6/2 csc θ= 5/√6 secθ= 1/5 cot θ= 1/2√6

d)

-sin θ=2√6 tan θ= 2√6/5 csc θ= 5/ 2√6 secθ= 5 cscθ= 1/2√6

12.
Based on your unit circle the exact value of sin(30o)=
a)
sq root 2 /2
b)
1/2
c)
1
d)
sq root 3 /2
13.
Simplify
sin(x+π)
a)
-1
b)
csc(x)
c)
sin(x)
d)
-sin(x)
14.
Evaluate sec π
a)
0
b)
-1
c)
1
d)
undefined
15.
If cosx = 3/8 and the terminal point is in quadrant 1, find sinx + secx 
a)
(√495 + 64)/3
b)
(√495 + 64)/8
c)
(√495 + 64)/24
d)
(√55 + 64)/24