Find the exact values of the remaining five trigonometric functions of theta. Suppose theta is an angle in the standard position whose terminal side is in Quadrant III and sec theta = -13/12

C

Step-by-step explanation:

We know that secant is the same as , so knowing that we can immediately find cosΘ by flipping the given secant value to be . Since only C has this for cosΘ, this is your answer. However, if you wanted to check further using a triangle. Using the knowledge that secant is and cosine is adjacent over hypotenuse (SOH CAH TOA), we can find that our hypotenuse is -13 and the adjacent side is 12. From there we can find the remaining functions using 5 as your opposite (given in the solutions) and SOH CAH TOA for each sine, cosine and tangent, flipping each for cosecant and cotangent.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.