Part A - Multiple Choice [K/U - 15 marks]

1. Determine the exact value of csc 4.

+/2

2. Determine the exact value of sin

a.

a.

a.

a.

-2

3x

3. Determine the exact value of sec

2

0

b.

a.

cotx

b.

b.

sin(x+y)

a.

7x

√√2

1

C.

4. An equivalent trigonometric expression for lan -A is

b.

—cotx

5. Which compound angle expression is equivalent to cos x cosy + sinx siny?

a.

b.

sin(x-y)

C.

cos(x + y)

√3

2

a. 2

8. The amplitude of the function y sinx is

a.

2x

b.

9. The graph of y= 1 intersects the graph of y- tanx at

I

2

b.

4

C.

C.

T

b. -3

√√3

C.

√3

7. Which graph of the following functions does not have vertical asymptotes?

y = cotx

a.

b.

y = tanx

C.

-1

tanx

cos(x - y)

6. Using the subtraction formulas for sine and cosine, the compound angle formula for tan(x-y) is

tanx + tany

1-tanxtany

b.

tanx-tany

1+tan x tany

tanx + tany

1+tanx tany

d.

10. Determine the amplitude of the sinusoidal function y=-3 sin 2x--

3)]₁

c. 3

11. Determine the phase shift of the sinusoidal function y=-3 sin

a. 2 rad to the right b. 2 rad to the left

C.

C.

X-

C.

C.

d.

d.

d.

d.

d.

1

t

انا

+1.

y = sinx

d.

1|2

+1.

برانه

rad to the left

undefined

none of the above

d.

d.

d.

tanx-tany

1-tanxtany

y = secx

2

T

d. to the right