Reciprocal trig functions (csc, sec, cot)

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Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
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Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
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F 706. Use trigonometric concepts and basic identities to solve problems G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths

F 706. Use trigonometric concepts and basic identities to solve problems
G 509. Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths

What you'll learn

Define the three reciprocal trigonometric functions and state their relationship to sin, cos, and tan
Express csc, sec, and cot as ratios of right-triangle sides (hyp/opp, hyp/adj, adj/opp)
Evaluate csc, sec, and cot for standard angles (30, 45, 60 degrees), rationalizing denominators as needed
Simplify expressions involving reciprocal trig functions by rewriting them in terms of sine and cosine, including products that are not reciprocal pairs (sin*sec = tan, tan*cos = sin, cot*sin = cos)
Solve a right-triangle problem that gives or asks for a reciprocal ratio, such as finding a side from a given csc, sec or cot value

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Reciprocal trig functions

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