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True or False

tan2θ=2tanθ1-tan2θ

Short Answer

Expert verified

Equationtan2θ=2tanθ1-tan2θis true

Step by step solution

01

Step 1. Given Data   

The given equation is

tan2θ=2tanθ1-tan2θ

02

Step 2. Explanation

Use sum formula for tan(α+β)

role="math" localid="1646429460524" tanα+β=tanα+tanβ1-tanαtanβ

Substitute θforrole="math" localid="1646429474469" β&α

tanθ+θ=tanθ+tanθ1-tanθtanθtan2θ=2tanθ1-tan2θ

so the given equation is true

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