Question

Find the value of theta : tan 5theta =1​

Answer 1

Answer:

Ans. एक वर्ष में 525600 मिनट होते हैं।

Answer 2

Step-by-step explanation:

The value is \theta=\frac{\pi}{20}θ=

20

π

Step-by-step explanation:

Given : Expression \tan 5\theta=1tan5θ=1

To find : Solve for \thetaθ ?

Solution :

Expression \tan 5\theta=1tan5θ=1

We can write as,

5\theta=\tan^{-1} 15θ=tan

−1

1

We know, \tan(\frac{\pi}{4})=1tan(

4

π

)=1 and \tan^{-1}(\tan x)=xtan

−1

(tanx)=x

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

−1

(tan(

4

π

))

5\theta=\frac{\pi}{4}5θ=

4

π

\theta=\frac{\pi}{4\times 5}θ=

4×5

π

\theta=\frac{\pi}{20}θ=

20

π

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

20

π