Question

For which value of theta is cot theta equal to cos theta?

Answer 1

Answer:

$\frac{cos \theta}{sin \theta}= cos \theta$

If we multiply by cross we got:

$cos \theta = sin \theta cos \theta$

We can divide both sides of the last equation by $cos \theta$ and we got:

$sin \theta = 1$

And if we apply arcsin in both sides we got:

$\theta = arcsin (1) = \frac{\pi}{2}$

And the best solution would be:

C) pi/2

Step-by-step explanation:

For this case we want to solve the following equation:

$cot \theta = cos \theta$

And we know that by definition $cot \theta = \frac{cos \theta}{\sin \theta}$

And replacing we got:

$\frac{cos \theta}{sin \theta}= cos \theta$

If we multiply by cross we got:

$cos \theta = sin \theta cos \theta$

We can divide both sides of the last equation by $cos \theta$ and we got:

$sin \theta = 1$

And if we apply arcsin in both sides we got:

$\theta = arcsin (1) = \frac{\pi}{2}$

And the best solution would be:

C) pi/2