Part A: Select TWO examples of solutions to trig identities from the Content section (Examples or Check your Understanding) or from Assignment 1 Solutions. post on the image pick two question.Annotate the solution for the example explaining the steps. Refer to the Tips for Solving Trigonometric Identities from the Content section. Part B: Make up your OWN identity. Start with a trigonometric expression, and apply substitutions and algebraic processes to create equivalent expressions. Note that this is NOT the same as proving an existing trig identity. Justify each step. Verify your identity graphically and algebraically. Checklist AnnotationsSelects two example(s) from class content or assignmentAccurately identifies the techniques at each stepSome of the techniques are from “Tips for Solving Trigonometric Identities”Includes the use of compound angle formulae Examples show a range of techniquesDescription is clear, demonstrating understanding and reasoningUses appropriate mathematical terminology Own Solution Selects and sequences effective strategies to create an identityDemonstrates an understanding of equivalence uses other identities uses algebraic techniquesAccurately identifies the techniques at each stepVerifies identity numericallyVerifies identity graphically (Desmos)Uses appropriate mathematical notation and conventions 2. 1+cotxtanymSolution:LS1+cot.x tan ysin(x + y)sin x cos yTherefore since LS-RS, 1+cotx tan yRSsin(x + y)sin.xcos ysin x cos y + sin y cos.xsin x cos ysin x cos ysin.xcos y= 1+sin y cos.xsin.x cos ysin(x + y)sin.x cos ysin y\cos x)cos y sin x- 1+tan y cot.x=1+cotxtan y 1. sec²x-2secxcos x + cos²x = sin² x tan² xSolution:LSsec² x-2 secx cos x + cos²x== (secx-cosx)²COS X1-cos²xCOS XCOS X²x+cos²x-cos²xCOS X(sin²x+sin² xCOS Xsin xcos²xRSsin² x tan² x(sin² x sin²xcos²x²+)(= sin² x tan² xTherefore since LS = RS, sec² x-2 secx cos x + cos²x = sin² x tan²x

Answered: Image /qna-images/answer/ae1177b3-a549-4dab-961b-d6701b3bb59f.jpg

Answered: 2. 1+ cotx tany. Solution: LS 1+cotx…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Related questions

Question

Part A: Select TWO examples of solutions to trig identities from the Content section (Examples or Check your Understanding) or from Assignment 1 Solutions. post on the image pick two question.

Annotate the solution for the example explaining the steps.
Refer to the Tips for Solving Trigonometric Identities from the Content section.

Part B: Make up your OWN identity. Start with a trigonometric expression, and apply substitutions and algebraic processes to create equivalent expressions. Note that this is NOT the same as proving an existing trig identity.

Justify each step. Verify your identity graphically and algebraically.

Checklist

Annotations