A. Sine and Cosine are complementary angles of each other.In the pythagorean theorem,sin^2(A)+cos^2 (A)=1.Sine and Cosine can also be found in the coordinate plane. Sine follows the y axis while Cosine follows the x axis.They both form the legs to a right triangle.
B. Cotangent and Tangent are reciprocals of one another ex:(x/y,y/x).They both share the same signs in the quadrants. They are positive in first and third quadrant and negative in 2nd and fourth quadrant.
C. Sine and Cosecant are also reciprocals of one another.The formula you use for sine and cosecant are y/r(Sine) and r/y(Cosecant). They share the same signs throughout the whole quadrant.
D. Cosine and Secant are reciprocals of one another. r/x(COS) x/r(SEC). they are both positive in the first and fourth quadrant. but they are also negative in the 2nd and 3rd quadrant.
E. Sin CoS and Tan are all signifigant points needed to help you find Theta. Together, they make up the angles of a right triangle.SIN=y axis Cos=x axis Tan=y/x.
Once you have establish the differences between these functions, you can begin to learn the trig chart which would provide as a extremely valuable source in adv math and beyond.
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