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Trigonometric Equations, trigonometric identitiesTMM 002 PRECALCULUS (Revised March 21, 2017)4c. Become fluent with conversions using traditional equivalency families.*(e.g., (sin(𝑑))2+(cos(𝑑))2=1; (tan(𝑑))2+1=(sec(𝑑))2; sums/differences; products; double angle; Euler’s Formula (π‘’π‘–πœƒ=cos(πœƒ)+𝑖sin(πœƒ)); etc.)Sample Tasks:The student can prove trigonometric identities.The student solves trigonometric equations.To solve √cos(4𝑑) = √sin(4𝑑), the student solves cos(4𝑑) =sin(4𝑑) and knows this procedure may result in extraneous solutions.The student solves |cos (2πœƒ−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‘Žsin(𝑀 𝑑)+𝑏cos(𝑀 𝑑) as 𝐴 sin (𝑀 𝑑+𝐡) or 𝐡 cos (𝑀 𝑑+𝐡). The student can rewrite sums as products to reveal attributes such as zeros, envelopes, and phase interference.The student can solve 2 𝑠𝑖𝑛2(𝑑)+7sin(𝑑)−4=0 on a given interval.The student can solve π‘™π‘œπ‘”4(sin (𝑑))+π‘™π‘œπ‘”4(2sin(𝑑)+7)=1 on a given interval. 
Subject:
Mathematics, Calculus, Trigonometry
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
05/28/2019
License:
Creative Commons Attribution-NonCommercial 4.0 Creative Commons Attribution-NonCommercial 4.0
Language:
English
Media Format:
Downloadable docs, Text/HTML, Video

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