Question #728ad
1 Answer
Use the properties of triangles to determine the side lengths for the function.
Explanation:
Using the known angles of triangles and the relationship of the sides to the trigonometric functions, we can calculate these values.
The angle of 315 is complementary to 45 (the sum to 360 - a full circle), so the sin will be the negative of the complementary angle.
45 degrees is one side of a right triangle with equal sides and angles. The sine is the ratio of the opposite side length to the hypotenuse. They hypotenuse squared is the sum of the two sides squared.
Similarly for the tangent of 600 - the real angle is just remainder from a multiple of 360.
Tangent is opposite side divided by adjacent side:
Further refinement could be done in measuring the lengths to get the (calculator) value of 1.73.