Reciprocal functions secant, cosecant, cotangent Secant is the reciprocal of cosine. Reciprocal means to flip the ratio. Cosecant is the reciprocal of sine. Reciprocal means to flip the ratio. Cotangent is the reciprocal of tangent. Reciprocal means to flip the ratio.

Sec, csc & cot also have the same SIGN as their reciprocals. AS TC Now all six functions are positive Just sin and csc positive Just tan and cot positive Just cos and sec positive

Determine the quadrant in which x terminates: AS TC Now all six functions are positive Just sin and csc positive Just tan and cot positive Just cos and sec positive Since sec is the reciprocal function of cos, then sec and cos have the same SIGN in the quadrants. If sec is negative, so is cos. Thus we are in quadrants II and III. Tangent is positive, so we are in quadrants I and III. Since they overlap in quadrant III, then that is where x terminates!

Determine the quadrant in which x terminates: AS TC Now all six functions are positive Just sin and csc positive Just tan and cot positive Just cos and sec positive Think, where is sin positive? Think, where is tan negative? Since they overlap in quadrant II, then that is where x terminates!

Determine the quadrant in which x terminates: AS TC Now all six functions are positive Just sin and csc positive Just tan and cot positive Just cos and sec positive Think, where is sin negative? Think, where is cos negative? Since they overlap in quadrant III, then that is where x terminates!

Find the exact value of each expression: Step: 1.Start by drawing the given angle 2.Find the reference angle 3.Rewrite the function using reference angle 4.Determine SIGN of function in quadrant where it was drawn 5.Now find exact value using exact value chart (use reciprocal function to get value off chart) 6.Take reciprocal of value off chart to get final answer! Cos in quad II is negative Use cos because sec is not on exact value chart and cos is reciprocal of sec! Since cos is negative in II, sec is as well When you switch back to sec, you take reciprocal of exact value! This is how you can check your answer on the calculator!

Find the exact value of each expression: We have a problem here!

Find the exact value of each expression:

Page 10 Sec is the reciprocal of cos, so:

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