Find the exact value of all six trigonometric functions if sin theta =8/17 and cos theta < 0?
1 Answer
Jul 30, 2018
See explanation...
Explanation:
Given that
cos theta = -sqrt(1-sin^2 theta)
color(white)(cos theta) = -sqrt(1-(color(blue)(8/17))^2)
color(white)(cos theta) = -sqrt(1-64/289)
color(white)(cos theta) = -sqrt(225/289)
color(white)(cos theta) = -15/17
Then:
tan theta = sin theta / cos theta = -8/15
cot theta = cos theta / sin theta = -15/8
sec theta = 1 / cos theta = -17/15
csc theta = 1 / sin theta = 17/8