Krishna
0

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

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

                                       \sin \theta = \frac{adjacent}{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.