Question

find the exact value of sec theta without finding theta if cot theta =-5 and sin theta>0

Answer 1

we have \[\cot\theta={1\over\tan\theta}\\
\sec^2\theta=1+\tan^2\theta
\]

Answer 2

you'd get two answers for sec theta
one positive and one negative.
from that fact that "cot is negative" and "sin is positive", what should be "sec?"

Answer 3

positive??

Answer 4

how?

Answer 5

not sure

Answer 6

im not really sure how to start the problem