Could you please write the answers clearly and understandably? Thank you. Prove the identity.\[\tan\left(x + \frac{\pi}{3}\right) = \frac{\sqrt{3} + \tan(x)}{1 - \sqrt{3} \tan(x)}\]\[\tan\left(x + \frac{\pi}{3}\right) = \frac{\tan(x) + \tan\left(\frac{\pi}{3}\right)}{1 - \left( \text{[blank box]} \right)}\]\[= \frac{\sqrt{3} + \tan(x)}{1 - \sqrt{3} \tan(x)}\]Note: In the second equation, there is a blank box usually used to fill the expression \( \tan(x) \cdot \tan\left(\frac{\pi}{3}\right) \).

Here we have to prove the identity tan(x+π/3) = (√3+tan x)/(1- √3 tan x)

Answered: Prove the identity. tan(x +) V3 +…

Math

Trigonometry

Prove the identity. tan(x +) V3 + tan(x) 1-V3 tan(x) tan(x) + tan= tan(x + ) V3 + tan(x) 1- V3 tan(x)

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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