Trying to integrate: cos2x sin x dx
Substitute y = cos x
Then dy = -sin x dx
So the integral becomes: -y2dy
Integrating gives -1/3 y3
Substituting back: -1/3 cos3x
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All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
Every angle has a sine and a cosine. The sine of 35 degrees is 0.57358 (rounded) The cosine of 35 degrees is 0.81915 (rounded)
Your question is insufficiently precise, but I'll try to answer anyway. "Sine squared theta" usually means "the value of the sine of theta, quantity squared". "Sine theta squared" usually means "the value of the sine of the quantity theta*theta". The two are not at all the same.
cosine (90- theta) = sine (theta)
Because it is the 'Complimentary' Sine curve. , hence the name 'CoSine'.