Answer:
[tex] \frac{cos \theta}{sin \theta}= cos \theta[/tex]
If we multiply by cross we got:
[tex] cos \theta = sin \theta cos \theta[/tex]
We can divide both sides of the last equation by [tex]cos \theta[/tex] and we got:
[tex] sin \theta = 1[/tex]
And if we apply arcsin in both sides we got:
[tex] \theta = arcsin (1) = \frac{\pi}{2}[/tex]
And the best solution would be:
C) pi/2
Step-by-step explanation:
For this case we want to solve the following equation:
[tex] cot \theta = cos \theta[/tex]
And we know that by definition [tex]cot \theta = \frac{cos \theta}{\sin \theta}[/tex]
And replacing we got:
[tex] \frac{cos \theta}{sin \theta}= cos \theta[/tex]
If we multiply by cross we got:
[tex] cos \theta = sin \theta cos \theta[/tex]
We can divide both sides of the last equation by [tex]cos \theta[/tex] and we got:
[tex] sin \theta = 1[/tex]
And if we apply arcsin in both sides we got:
[tex] \theta = arcsin (1) = \frac{\pi}{2}[/tex]
And the best solution would be:
C) pi/2
