SOLUTION: if cos theta = 3/5 and 0 (less than or equal to) theta (less than or equal to) 90 find sin theta and cot theta

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Question 980851: if cos theta = 3/5 and 0 (less than or equal to) theta (less than or equal to) 90
find sin theta and cot theta
Found 2 solutions by ikleyn, Cromlix:
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!

You are given that  cos%28theta%29 = 3%2F5  and   0 < theta < 90°.

Hence,   sin%28theta%29 = sqrt%281+-+cos%5E2%28theta%29%29 = sqrt%281+-+%283%2F5%29%5E2%29 = sqrt%281+-+9%2F25%29 = sqrt%28%2825-9%29%2F25%29 = sqrt%2816%2F25%29 = 4%2F5.


Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Construct a right angled triangle
With adjacent = 3 and hypotenuse = 5
then the opposite side will = 4
sin theta = 4/5 (opposite/adjacent)
cot theta = 3/4 (adjacent/opposite)
Hope this helps:-)