# math test 7

### Question 1

1. Convert the angle to radians. Leave as a multiple of π .

-45°

 – – – –

2 points

### Question 2

1. Convert the radian measure to degrees.

 -36° -0.63° – ° -36π°

2 points

### Question 3

1. Decide whether the given sequence is finite or infinite.

-7, -6, -5, -4

 Finite Infinite

2 points

### Question 4

1. Decide whether the statement is possible or impossible.

tan θ = 9.48

 Impossible Possible

2 points

### Question 5

1. Determine the point on the unit circle to which the given real number corresponds.

 (0, 1) (1, 0) (-1, 0) (0, -1)

2 points

### Question 6

1. Determine the value of the trigonometric function of s using the given information.

sin s = – , cos s = Find cot s.

 – – –

2 points

### Question 7

1. Estimate the indicated component or components of the vector. Round to an appropriate number of significant digits.

= 593, θ = 20.7°
Find the vertical component of v.

 345 765 555 210

2 points

### Question 8

1. Evaluate the sum.

 374 454 377 305

2 points

### Question 9

1. Find a ∙ b.

a = , b =

 -20 -30

2 points

### Question 10

1. Find all cube roots of the complex number. Leave answers in trigonometric form.

64 cis 120°

 4 cis 40°, 4 cis 160°, 4 cis 280° cis 40°, cis 160°, cis 280° 4 cis °, 4 cis °, 4 cis ° 4 cis 40°, 4 cis 80°, 4 cis 120°

2 points

### Question 11

1. Find all values of θ , if θ is in the interval [0, 360° ) and has the given function value.

sin θ =

 150° and 210° 60° and 120° 210° and 330° 60° and 300°

2 points

### Question 12

1. Find an equation for the parabola with vertex at the origin.

Through (6, 5), opening to the right

 x = y2 x = y2 x = – y2 y = x2

2 points

### Question 13

1. Find an equation of a parabola that satisfies the given conditions.

Vertex (3, -4), focus (3, -2)

 (y + 4)2 = 8(x – 3) (x – 3)2 = 8(y + 4) 8(y – 4) = (x + 3)2 y – 4 = 8(x + 3)2

2 points

### Question 14

1. Find the amplitude or period as requested.

Find the amplitude of y = 5 sin .

 4 5 20

2 points

### Question 15

1. Find the angle between the given vectors to the nearest tenth of a degree.

a = and b =

 9.0° 19.0° 38.0° 48.0°

2 points

### Question 16

1. Find the angle of least positive measure that is coterminal with the given angle.

391°

 195.5° 21° 31° 211°

2 points

### Question 17

1. Find the area of the triangle using one of the area formulas.

A = 35.67°
b = 16.2 m
c = 10.0 m

 47.2 m2 23.6 m2 96.4 m2 94.4 m2

2 points

### Question 18

1. Find the center and radius of the circle.

x 2 + y 2 + 10x – 6y = -18

 (5, -3), r = 16 (3, -5), r = 4 (-3, 5), r = 16 (-5, 3), r = 4

2 points

### Question 19

1. Find the exact value by using a sum or difference identity.

sin 285°

 – –

2 points

### Question 20

1. Find the exact value of the indicated part in the figure.

Find b.

 b = b = 22 b = 11 b = 11

2 points

### Question 21

1. Find the exact value, given that with A in with B in and with C in

sin 2A

 – –

2 points

### Question 22

1. Find the following quotient, and write the quotient in rectangular form, using exact values.

 – i + i – i + i

2 points

### Question 23

1. Find the given power. Write answer in rectangular form.

(1 – i) 10

 -32 + 32i -32i 32 32 – 32i

2 points

### Question 24

1. Find the indicated trigonometric function of θ.

Find tan A.

 tan A = tan A = tan A = tan A =

2 points

### Question 25

1. Find the phase shift of the function.

y = cos

 units up units to the left units to the right units down

2 points

### Question 26

1. Find the sum of the geometric series.

 -255 -66 10