Answered: tan 5Ñ - tan Y 12 12 tani 12 12

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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Hello, my problem is attached. So I know this is the identity of Tan(5pi/12 -pi/12) which equals tan(pi/3) which is sqrt3. So question 1 - when given identities like this in this form, is the objective to put it back into the tan(A-B) form in order to solve?

Question 2 is what if we put it into the expanded identity form (like attached) in order to solve? Is it a legitimate operation to just subtract pi/12 from 5pi/12 in the numerator and find the tan of that? and then how would we solve the bottom part of "1 + (tan5pi/12)(tanpi/12)? You don't multiply 5pi/12 by pi/12 right? So how would we figure out the value of the denominator?

thank you!

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