please help me answer this List a pair of "special angles" , in terms of , , or , from any quadrant, that can be used as a sum or difference for 512

Name: please help me answer this List a pair of "special angles" , in terms
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Description: please help me answer this List a pair of "special angles" , in terms of , , or , from any quadrant, that can be used as a sum or difference for 512

we have to list the angles in terms of π6,π4&π3 from any quadrant that can be used as a sum or…

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Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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please help me answer this

List a pair of "special angles" , in terms of , , or , from any quadrant, that can be used as a sum or difference for 5
12

Expert Solution

Step 1

we have to list the angles in terms of $\frac{π}{6}, \frac{π}{4} & \frac{π}{3}$ from any quadrant that can be used as a sum or difference for $\frac{π}{12}$

Step 2

if we take $\frac{2 π}{3} & \frac{3 π}{4}$ and subtract it we get

$\frac{3 π}{4} - \frac{2 π}{3} = \frac{9 π - 8 π}{12} = \frac{π}{12}$

now taking $\frac{4 π}{3} & \frac{5 π}{4}$

$\frac{4 π}{3} - \frac{5 π}{4} = \frac{16 π - 15 π}{12} = \frac{π}{12}$

taking $\frac{5 π}{3} & \frac{7 π}{4}$

$\frac{7 π}{4} - \frac{5 π}{3} = \frac{21 π - 20 π}{12} = \frac{π}{12}$

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