## Description

Angles and Trigonometric Functions

Its a homework that due in couple hours.

Can you please show all the work so it can help me understand how to do it.

Thank you!

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## Explanation & Answer

Hey Buddy. Find the solutions below. The rest are pictures. I will attach them in bits due to size limit.

See the attachment named solutions and the pictures attached for solutions

Solution

1. Coterminal Angles are angles who share the same initial side and terminal sides. Finding

coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on

whether the given angle is in degrees or radians.

A) Positive coterminals of 30

i.

30 + 360 = 390

ii.

30+2(360) = 750

Negative coterminals

i.

ii.

30 – 360 = -330

30- 360(2) = -690

B) Positive coterminals of -90

i.

-90+360 = 270

ii.

-90+2(360) = 630

Negative coterminals

i.

ii.

-90 – 360 = -450

-90- 360(2) = -810

2. Difference between two coterminal angle is 360 or a multiple of 360 degrees. Therefore;

8 – (-368) = 376. Therefore the two are not coterminals

3. Quadrants:

I – (0-90)

II(90-180)

III(180-270)

IV(270-360)

Therefore: A) 85 deg - 1st quadrant

B)-125 positive equivalent is (360 – 125) = 235 hence 3rd quadrant

C) 933 is the coterminal of (933 - 360(2) = 213) hence 3rd quadrant

4. A. 540 – 360 = 180

B. -1100 + 4(360) = 340

5. A.

= -8° 30' 18"

= -8° - 30'/60 -18"/3600

= - 8.505°

B.

= 28° 5' 9"

= 28° + 5'/60 + 9"/3600

= 28.08583°

6. A.

d = int(17.33°) = 17°

m = int((17.33° - 17°) × 60) = 19'

s = (17.33° - 17° - 19'/60) × 3600 = 48"

Therefore: - 17.33° = - 17° 19'...