Question

If cos 8 theta = sin theta ,then the value of tan 6 theta

Answer 1

Answer:

$\sqrt{3}.$

Step-by-step explanation:

As given in the question,

$cos8\theta\ =\ sin\theta$

$=>\ sin(90-8\theta)\ =\ sin\theta$

$=>\ 90-8\theta\ =\ \theta$

$=>\ 9\theta\ =\ 90$

$=>\ \theta\ =\ 10$

Now, we have to find the value of

$tan6\theta$

$=\ tan(6\times 10)$

$=\ tan(60)$

$=\ \sqrt{3}$

Hence, the value of $tan6\theta$ will be $\sqrt{3}.$

Answer 2

Answer:

$\sqrt{3}$

Step-by-step explanation:

In this question.

We have been given that,

$cos8\theta\ =\ sin\theta$

=> $sin(90-8\theta)\ =\ sin\theta$

Comapring the angles both the sides we get,

=> $90-8\theta\ =\ \theta$

=> $9\theta\ =\ 90$

=> $\theta\ =\ 10$

Now, we have to find the value of  $tan6\theta$

Putting the value of θ we get,

= $tan(6\times 10)$

= $tan(60)$

= $\sqrt{3}$

Hence, the value of $tan6\theta$ will be $\sqrt{3}$.