Why are the values for sine and cosine equal at 45°? all three of the side lengths of the triangle are 1. the length of the side opposite the 45° angle equals 1. the length of the side opposite the 45° angle is twice the length of the side adjacent to the 45° angle. the length of the side opposite the 45° angle equals the length of the side adjacent to the 45° angle.

This is a nice place to point out that Trigonometry as practiced relies mostly on the two simplest right triangles, half an equilateral triangle giving a 30/60/90 right triangle, and half a square giving 45/45/90. Learn these cold and you've mastered half of Trigonometry. It should take about fifteen minutes.

Half a square means the two legs of the isosceles right triangle are the same length, last choice:

The length of the side opposite the 45° angle equals the length of the side adjacent to the 45° angle.

the perimeter is increased by a factor of 2

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step-by-step explanation: