Trig Function: Write cot (t) in terms of sin (t) if....

[snakeyesxlaw]

Write cot (t) in terms of sin (t) if the terminal point determined by t is in the first quadrant.

NOTE: Use S in your answer to stand for sin (t) (i.e. if the answer were 2 sin (t), you would enter 2S).

cot (t) =


this is what was submitted but marked wrong, any suggestions?

(cost^2 t) = 1 - (sin^2 t)
cos t = (1 - sin^2 t)^.5

so,

cot (t) = cos (t) / sin (t)

= (1 - sin^2 t)^.5 / sint (t)

= (1-2s)^.5 / s

mistake where is?

 

[Deleted member 4993]

Re: Trig Function

Write cot (t) in terms of sin (t) if the terminal point determined by t is in the first quadrant.

NOTE: Use S in your answer to stand for sin (t) (i.e. if the answer were 2 sin (t), you would enter 2S).

cot (t) =


this is what was submitted but marked wrong, any suggestions?

(cost^2 t) = 1 - (sin^2 t)
cos t = (1 - sin^2 t)^.5

so,

cot (t) = cos (t) / sin (t)

= (1 - sin^2 t)^.5 / sint (t)

= (1-2s)^.5 / s <---why is that \(\displaystyle Sin^2t = s^2\)

mistake where is?