I found an answer from www.youtube.com

**Convert** an Angle in **Degrees**, **Minutes**, and **Seconds** to **Degrees** ...

May 9, 2018 **...** This video explains how to **convert** an angle given in **degrees**, **minutes**, and
**seconds** to only **degrees** and **radians**.http://mathispower4u.com.

For more information, see **Convert** an Angle in **Degrees**, **Minutes**, and **Seconds** to **Degrees** ...

I found an answer from www.quora.com

How to **calculate** cos, sine, etc. without a **calculator** - Quora

How do you **calculate** sin120 **degree** or any other higher **angles in** sin cos and ...
It was a table of for every **angle** from **1**/**2**° through 180° in intervals of **1**/**2**°. ... **Arc**-
Line method for determination of trigonometric ratios ... Recall that y° = (**π**.y/180)
**radians**. ... How do I **calculate** [**math**]\sin 17**[/math**] without **using** any **calculator**?

For more information, see How to **calculate** cos, sine, etc. without a **calculator** - Quora

I found an answer from en.wikipedia.org

**Minute** and **second** of **arc** - Wikipedia

A minute of **arc**, **arcminute** (**arcmin**), **arc minute**, or **minute arc**, denoted by the
symbol ′ {\displaystyle '} ' , is a unit of angular measurement equal to **1**/60 of one
**degree**. Since one **degree** is **1**/**360** of a turn (or complete rotation), one minute of
**arc** ... All are measured in **degrees**, **arcminutes** and **arcseconds**. ... **Math** Vault.

For more information, see **Minute** and **second** of **arc** - Wikipedia

Given Conversions

Degree to radians: 360 \degree = 2 \pi radians

Degree to minutes: 1 \degree = 60'

Minutes to seconds: 1' = 60''

a) Degree 1 \degree

360 \degree = 2 \pi radians

1 \degree = ? (radians)

1\degree = \frac{2\pi}{360} = \frac{\pi}{180} = 0.0174 rad

b) 1'

Minutes 60'\ =\ 1\degreedegree

1' \text{ minute } = ? (rad)

1' = \frac{1}{60}\degree

1' = \frac{0.0174}{60} rad \because 1 \degree = 0.0174 rad

1' = 0.00029 = 2.9 * 10^{-4} rad

c) 1''

Minutes 1' = 60'' seconds

[math] 1'' = ? (rad)

1'' = \frac{1}{60}' =

1'' = \frac{0.00029}{60} = 0.00000483 = 4.83* 10^{-6} rad