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# Pre-Calculus Course Content, 11.Β Analytical Trigonometry, Trigonometric Equations

## Description

Overview:
Trigonometric Equations, trigonometric identitiesTMM 002 PRECALCULUS (Revised March 21, 2017)4c. Become fluent with conversions using traditional equivalency families.*(e.g., (sin(π‘))2+(cos(π‘))2=1; (tan(π‘))2+1=(sec(π‘))2; sums/differences; products; double angle; Euler’s Formula (πππ=cos(π)+πsin(π)); etc.)Sample Tasks:The student can prove trigonometric identities.The student solves trigonometric equations.To solve √cos(4π‘) = √sin(4π‘), the student solves cos(4π‘) =sin(4π‘) and knows this procedure may result in extraneous solutions.The student solves |cos (2π−3)| + 32 = 2 by rewriting the left-hand side as a piecewise-defined function.The student can rewrite formulas involving multiple occurrences of the variable to formulas involving a single occurrence. Write πsin(π€ π‘)+πcos(π€ π‘) as π΄ sin (π€ π‘+π΅) or π΅ cos (π€ π‘+π΅). The student can rewrite sums as products to reveal attributes such as zeros, envelopes, and phase interference.The student can solve 2 π ππ2(π‘)+7sin(π‘)−4=0 on a given interval.The student can solve πππ4(sin (π‘))+πππ4(2sin(π‘)+7)=1 on a given interval.
Subject:
Mathematics, Calculus, Trigonometry
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
05/28/2019