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Trig Equations and CAST Diagram

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

Which quadrant stands for 180-a ?

a)

C

b)

A

c)

S

d)

T

2.

Which quadrant stands for 360-a ?

a)

C

b)

A

c)

S

d)

T

3.

Which quadrant stands for 180+a ?

a)

C

b)

A

c)

S

d)

T

4.

Select all the quadrants where sinx is positive

a)

C

b)

A

c)

S

d)

T

5.

Select all the quadrants where cosx is positive

a)

C

b)

A

c)

S

d)

T

6.

Select all the quadrants where tanx is positive

a)

C

b)

A

c)

S

d)

T

7.

How do you solve

tanx = 2

a)

divide by tan

b)

subtract tan

c)

find tan-1(2)

d)

can't solve it as 2 > 1

8.

Solve

sinx = 1

for x between 0 and 360 degrees

a)

x = 90

b)

x = 1

c)

x = 90 and 180

d)

x = 0 and 90

9.

Solve

sinx + 1 = 1.5

for x between 0 and 360 degrees

a)

x = 30

b)

x = 30 and 150

c)

x = 30 and 330

d)

x = 30 and 150 and 330

10.

Solve

cosx - 1 = -0.5

for x between 0 and 360 degrees

a)

x = 60

b)

x = 30 and 60

c)

x = 60 and 300

d)

x = 30 and 60 and 300