Question

solve for theta,if tan 5 theta=1

Answer 1

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Answer 2

Answer:

The value is $\theta=\frac{\pi}{20}$

Step-by-step explanation:

Given : Expression $\tan 5\theta=1$

To find : Solve for $\theta$ ?

Solution :

Expression $\tan 5\theta=1$

We can write as,

$5\theta=\tan^{-1} 1$

We know, $\tan(\frac{\pi}{4})=1$ and $\tan^{-1}(\tan x)=x$

$5\theta=\tan^{-1}(\tan(\frac{\pi}{4}))$

$5\theta=\frac{\pi}{4}$

$\theta=\frac{\pi}{4\times 5}$

$\theta=\frac{\pi}{20}$

Therefore, The value is $\theta=\frac{\pi}{20}$