Effects of interchanging sine terms with cosine terms

1. What happens when you integrate sin and cos?
2. What is the relationship between sin A and cos A?
3. Why does Cos change to sin?
4. What happens when you differentiate sine?

What happens when you integrate sin and cos?

Integrating sin(mt) and cos(mt) over a full period equals zero.

What is the relationship between sin A and cos A?

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse whereas the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

Why does Cos change to sin?

Since the sum of the angles in a triangle equals 180°, and angle C is 90°, that means angles A and B add up to 90°, that is, they are complementary angles. Therefore the cosine of B equals the sine of A.

What happens when you differentiate sine?

Assume that the function, f(x) = sin x to be differentiated. Thus, the derivative of sin x is cos x, is derived.