Question

if cos theta=-5/13 and theta is greater than or equal to 0 and less then or equal to 2pi, determine
a) Tan theta
b) sec theta

Answer 1

\[\cos \theta=\frac{ -5 }{ 13 }, 0\le \theta \le2\pi\] find:
\[a)\tan \theta\]
\[b)\sec\theta\]

Answer 2

What I think it should be for tan theta tan theta= 12/-5?

Answer 3

Sec is just 1/ Cos so Sec theta = 13/-5

Answer 4

is my answer correct for tan theta cuz the book got a different answer

Answer 5

Tan = sin / cos

Since the sin is Opposite/Hypotenuse Sin = 12/13
Cos is Adjacent/Hypotenuse so it is -5/13

12/13 * 13/-5 = -12/5 = 12/-5 so yes you did get the correct answer for tan theta

Answer 6

the book says its 12/13

Answer 7

for tan theta

Answer 8

oh well i guess they messed up.

Answer 9

Yeah I think they meant to say that Sin theta = 12/13