Use Terminal Point on Unit Circle to Evaluate six Trigonometric Functions

In this example, we are given a terminal point on the unit circle and use it to evaluate each of the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent (sin(t), cos(t), tan(t), csc(t), sec(t), cot(t)). We first locate cosine and sine based on the ordered pair that is given and the fact that the x-value is cosine and the y-value is sine. Then we use the quotient identity that tangent is sine over cosine (tan(t)=sin(t)/cos(t)) to find tangent. After we have these three, we use the reciprocal identities to invert numerator and denominators to find cosecant, secant, and cotangent. All solutions are then rationalized to give the best solutions possible.