Question

tan 7 theta * tan 3 theta =1 find the value of theta

Answer 1

Answer:

tan7θ= 1/tan3θ

tan7θ= cot3θ

tan7θ= tan(90-3θ)

7θ=90-3θ

10θ= 90

θ=9

hope this helps....

Answer 2

Answer:

Value of   $\theta$  is  9.

Step-by-step explanation:

Given Statement :  $tan7\theta\times tan3\theta=1$

To find: Value of $\theta$

Consider,

$tan\,7\theta\times tan\,3\theta=1$

transpose $tan\,3\theta$ to RHS, we get

$tan\,7\theta=\frac{1}{tan\,3\theta}$

$tan\,7\theta=cot\,3\theta$ ($cot\,x =\frac{1}{tan\,x}$)

$tan\,7\theta=tan\,(90-3\theta)$  

$7\theta=90-3\theta$  

$7\theta+3\theta=90$  

$10\theta=90$  

$\theta=\frac{90}{10}$

$\theta=9$

Therefore, Value of $\theta$  is  9.