Use sketch to find exact value of $\tan (\cos^{-1}\dfrac{5}{13})$
I drew a right triangle with angle $\theta$ and sides $12,5,3.$
If $\cos \theta=\frac{5}{13},$ then $\sin \theta = \frac{12}{13}$ and $\tan \theta = \frac{12}{5}.$
This isn't correct since tangent is greater than one. How would I solve this correctly? (Please show steps) Thanks.
Best Answer
Print it and give it to your teacher. Or send him this link. Answer is $\pm\frac{12}{5}=\pm 2.4$