If-tan-1-2-and-tan-1-3-then-the-value-of-is-

Question Number 62388 by hovea cw last updated on 20/Jun/19

If \tan θ = \frac{1}{2} and \tan ϕ = \frac{1}{3}, then the

value of θ + ϕ is

Commented by Tony Lin last updated on 20/Jun/19

t a n (θ + \emptyset) = \frac{t a n θ + t a n \emptyset}{1 - t a n θ t a n ϕ} = 1

\Rightarrow θ + \emptyset = \frac{π}{4} + 2 n π o r θ + \emptyset = \frac{5 π}{4} + 2 n π

Answered by ajfour last updated on 20/Jun/19

\tan (θ + ϕ) = 1

\Rightarrow θ + ϕ = n π + π / 4 .

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