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