Question

15. If tan 7 theta · tan 3 theta= 1, find the value of theta.​

Answer 1

Answer:

Value of \thetaθ is 9.

Step-by-step explanation:

Given Statement : tan7\theta\times tan3\theta=1tan7θ×tan3θ=1

To find: Value of \thetaθ

Consider,

tan\,7\theta\times tan\,3\theta=1tan7θ×tan3θ=1

transpose tan\,3\thetatan3θ to RHS, we get

tan\,7\theta=\frac{1}{tan\,3\theta}tan7θ=

tan3θ

1

tan\,7\theta=cot\,3\thetatan7θ=cot3θ (cot\,x =\frac{1}{tan\,x}cotx=

tanx

1

)

tan\,7\theta=tan\,(90-3\theta)tan7θ=tan(90−3θ)

7\theta=90-3\theta7θ=90−3θ

7\theta+3\theta=907θ+3θ=90

10\theta=9010θ=90

\theta=\frac{90}{10}θ=

10

90

\theta=9θ=9

Therefore, Value of \thetaθ is 9.

hope its usefull

Answer 2

Step-by-step explanation:

ans is 9 degres

we use the fact that tan45 =1 and tan90 =0

I hope it helps you. .please mark it the brainliest