Find exact value of each trigonometric function of $\theta$ if $\tan\theta=-1/5$ and $\sec \theta >0$
I know that $\cot \theta=-5,$ right?
Secant and cosine are positive in the fourth quadrant. I drew a triangle there, with $\theta = \tan^{-1}-1/5$.
The hypotenuse I found to be $5.1.$
So I got these values:
$\sin \theta = -10/51, \cos \theta = 50/51, \sec \theta = 51/50, \csc \theta = -51/10$
Is this correct?