SOLUTION: Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line y = −2x.

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Question 1131668: Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line
y = −2x.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+-2x

slope+=+-2
slope+=+tangent+=+y%2Fx+=-2%2F1+
So y+=+-2 and x+=+1

Therefore hypothenuse+=+sqrt%28%28-2%29%5E2%2B1%5E2%29+=+sqrt%285%29
then,

sin%28t%29+=+y%2Fr+=+-2%2Fsqrt%285%29
cos%28t%29+=+x%2Fr+=+1%2Fsqrt%285%29
tan%28t%29+=+y%2Fx+=+-2
csc%28t%29+=+-sqrt%285%29%2F2
sec%28t%29+=+sqrt%285%29
cot%28t%29+=+x%2Fy+=+-1%2F2