ACT Math
Lesson Plan
Reciprocal trig functions (csc, sec, cot)
Goals / Objectives
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 (sinsec = tan, tancos = 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
Standards
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
Academic Vocabulary
Not in our source material
Enrichment
This lesson’s brief has no Differentiation
Accommodations
Not in our source material
Anticipatory Set / Bell Work
Modeling
Check for Understanding
This lesson’s brief has no Formative Assessment or Assessment Ideas
Guided Practice
Independent Practice
Homework
Pacing
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