I don't understand how this was explained. I'm confused with it being in radians. How can I calculate it in radians? EXAMPLE 7 Finding Coterminal AnglesFind a positive angle less than 360° or 27 that is coterminal with each of thefollowing:a. a 750° angleb. a22T3angle ca-17T6angled. a -10.3 angle. d. For a -10.3 angle, it is helpful to remember that 1 radian = 57°. Therefore,-10.3 = -10.3(57°)F -587.1°.For a -587.1° angle, we need to add two multiplies of 360° to find a positivecoterminal angle less than 360°. Equivalently, for a -10.3 angle, we need toadd two multiples of 27, or 47, to find a positive coterminal angle less than 2π.-10.3+27 2 = −10.3 + 4π = 2.3A 2.3 angle is approximately coterminal with a -10.3 angle.

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Find a positive angle less than 360° or 27 that is coterminal with each of the following: a. a 750° angle b. a 22T 3 angle c. a- 17T angle d. a -10.3 angle.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.1: Angles

Problem 3E

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Question

I don't understand how this was explained. I'm confused with it being in radians. How can I calculate it in radians?

EXAMPLE 7 Finding Coterminal Angles
Find a positive angle less than 360° or 27 that is coterminal with each of the
following:
a. a 750° angle
b. a
22T
3
angle ca-
17T
6
angle
d. a -10.3 angle.

d. For a -10.3 angle, it is helpful to remember that 1 radian = 57°. Therefore,
-10.3 = -10.3(57°)
F -587.1°.
For a -587.1° angle, we need to add two multiplies of 360° to find a positive
coterminal angle less than 360°. Equivalently, for a -10.3 angle, we need to
add two multiples of 27, or 47, to find a positive coterminal angle less than 2π.
-10.3+27 2 = −10.3 + 4π = 2.3
A 2.3 angle is approximately coterminal with a -10.3 angle.

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