SOLUTION: you are given cot theta = -1/2 and sin theta >0. Find other functions and give exact answer" tan theta sin theta cos theta csc theta sec theta

Algebra ->  Trigonometry-basics -> SOLUTION: you are given cot theta = -1/2 and sin theta >0. Find other functions and give exact answer" tan theta sin theta cos theta csc theta sec theta      Log On


   

Question 814718: you are given cot theta = -1/2 and sin theta >0. Find other functions and give exact answer"
tan theta
sin theta
cos theta
csc theta
sec theta
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
you are given cot theta = -1/2 and sin theta >0. Find other functions and give exact answer.
***
Reference angle in quadrant II where cos<0 and sin>0
cotx=cosx/sinx=-1/2
hypotenuse of reference right triangle=√(-1)^2+2^2)=√(1+4)=√5
..
tan theta=-2
sin theta=2/√5=2√5/5
cos theta=-1/√5=-√5/5
csc theta=√5/2
sec theta=-√5