explain supplementary angles and complementary angles in the unit circle along with sin, cos and tan

Supplementary angles in the unit circle add up to 180 degrees, while complementary angles add up to 90 degrees. In trigonometry, sine (sin), cosine (cos), and tangent (tan) are trigonometric functions that relate angles in a right triangle to the lengths of its sides. For example, in the unit circle, if an angle is 30 degrees, its supplementary angle would be 150 degrees, and its complementary angle would be 60 degrees. The sine of 30 degrees is 0.5, the cosine is √3/2, and the tangent is 1/√3. A helpful analogy is to think of a clock face where each hour represents an angle in the unit circle. The hands of the clock can help you visualize supplementary and complementary angles. One verifiable fact is that in a right triangle, the sine of an angle is the ratio of the length of the side opposite the angle to the hypotenuse.