Krishna
0

Step 1:  Recall the definitions of the trigonometric ratios and properties of the right angle triangle.

DEFINITIONS: \sin \theta = \frac{opposite}{hypotenuse}

PROPERTY:   The hypotenuse (denominator) is always greater than the

opposite or adjacent side (numerator), the ratio will always

be smaller than one.

REASON:  The value of \sin A \text{ as well as } \cos A is

always less than 1 because it goes back to the definition (one of many) that

for a right triangle, the sine is the opposite side divided by the hypotenuse.

Due to this, side is always ≤ the hypotenuse, the ratio has to be ≤ 1.