Asked by Shay
Find cos theta and cot theta if sin =1/4 and tan theta <0
Answers
Answered by
Reiny
make a sketch of a triangle in quadrant II, with opposite side 1 and hypotenuse 4
y = 1, r = 4, x = ?
x^2 + 1^2 = 4^2
x = ±√15 , but we know that the angle must be in quadrant II since the sine is positive and the tangent is negative only in quadrant II
so x = -√15
cos theta = -√15/4,
tan thetat = 1/-√15 so cot theta = -√15
y = 1, r = 4, x = ?
x^2 + 1^2 = 4^2
x = ±√15 , but we know that the angle must be in quadrant II since the sine is positive and the tangent is negative only in quadrant II
so x = -√15
cos theta = -√15/4,
tan thetat = 1/-√15 so cot theta = -√15
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.