Free Printable FORMATIVE 3: TEST

1.

$\sin\theta=?$

a)

0.604

b)

1.094

c)

0.444

d)

0.406

2.

$\tan\theta=?$

a)

0.604

b)

1.094

c)

0.444

d)

0.406

3.

$\sec\theta=?$

a)

0.604

b)

1.094

c)

0.444

d)

0.406

4.

a)

Quadrant I =

69.02 $\degree$

Quadrant IV=

290.98 $\degree$

b)

Quadrant II=

69.02 $\degree$

Quadrant III=

290.98 $\degree$

c)

Quadrant I =

96.02 $\degree$

Quadrant IV=

310.98 $\degree$

d)

Quadrant II =

120.02 $\degree$

Quadrant III=

210.98(

5.

Calculate:

Angle A =?

a)

125 $\degree$

b)

53.13 $\degree$

c)

35.31 $\degree$

d)

210.98 $\degree$

6.

Calculate:

The lenght of AC = ?

a)

13cm

b)

21.05cm

c)

20.75cm

d)

25.08cm

7.

Solve the following equation by using identities:

a)

𝑇ℎ𝑒 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠 𝑜𝑓 𝜃 𝑎𝑟𝑒 96.03° , 152.17° , 276.03° 𝑎𝑛𝑑 332.17° .

b)

𝑇ℎ𝑒 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠 𝑜𝑓 𝜃 𝑎𝑟𝑒 56.03° , 102.17° , 206.03° 𝑎𝑛𝑑 334.17° .

c)

𝑇ℎ𝑒 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠 𝑜𝑓 𝜃 𝑎𝑟𝑒 96.03° , 252.17° , 216.03° 𝑎𝑛𝑑 342.17° .

d)

𝑇ℎ𝑒 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛𝑠 𝑜𝑓 𝜃 𝑎𝑟𝑒 90.03° , 150.17° , 270.03° 𝑎𝑛𝑑 330.17° .

8.

(2 + 2i) + (1-4i) = ?

a)

3 - 2 i

b)

2- 3 i

c)

1 - 2 i

d)

3 - 2i

9.

( 17 + 6i ) - ( - 11+i ) = ?

a)

3 - 2 i

b)

2- 3 i

c)

- 6 + 5 i

d)

6 + 5 i

10.

$\frac{\left(7+4i\right)\left(2+3i\right)}{\left(3+4i\right)}$

a)

$\frac{122}{25}+\frac{79}{25}i$

b)

$\frac{122}{25}-\frac{79}{25}i$

c)

$\frac{2+29i}{3+4i}$

d)

$\frac{2-29i}{3-4i}_{ }$

11.

Calculate the modulus and argument for $Z_1$

a)

r = 11.18

$\theta$ = 63.43 $\degree$

b)

r = 11.18

$\theta$ = 93.43 $\degree$

c)

r = 5

$\theta$ = 63.43 $\degree$

d)

r = 5

$\theta$ = 93.43 $\degree$

12.

Calculate $Z_1\ \times\ \ Z_2$ and express the answer in Polar Form

a)

$11.8\angle93.43\degree$

b)

$55.9\angle93.43\degree$

c)

$5\angle30\degree$

d)

$11.8\angle63.43\degree$

13.

alculate $\frac{Z_1}{Z_2}$ and express the answer in Polar Form and Exponent Form.

a)

$z=5\angle33.43\degree$ $z=5e^{0.583i}$

b)

$z=2.236\angle93.43\degree$ $z=2.235e^{0.943i}$

c)

$z=2.236\angle33.43\degree$ $z=2.235e^{0.583i}$

d)

$z=5\angle93.43\degree$ $z=5e^{0.583i}$

FORMATIVE 3: TEST

Total questions: 13

Worksheet time: 44mins

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