Question

What relationship do the ratios of sin x° and cos y° share?

Answer 1

The sine of an angle (in a right angled triangle),
is equal to the ratio of "the length of the side opposite to the angle" to "the length of the hypotenuse of the triangle".
\[\sin\theta=\frac{\text{opposite side}}{\text{hypotenuse}}\]

The cosine of an angle (in a right angled triangle),
is equal to the ratio of "the length of the side adjacent to the angle" to "the length of the hypotenuse of the triangle".
\[\cos\theta=\frac{\text{adjacent side}}{\text{hypotenuse}}\]

Answer 2

The hypotenuse of this triangle has the length 5.

Answer 3

To find the sine of x°, you will need to identify the lengths of the side opposite to the angle x°.

To find the cosine of y°, you will need to identify the length of the side adjacent to the angle y°.

Answer 4

the derivative of sin x is cos x.

Answer 5

@MarcoReus11 the comparison is between sin x and cos y.