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1. sin (5x + ) sin ( x + T /2) %3D 2. tan (3x – T/2 ) = cot 2x 3. COs (x + п /2) sin ( T /2 – 2x ) %3D

1. sin (5x + ) sin ( x + T /2) %3D 2. tan (3x – T/2 ) = cot 2x 3. COs (x + п /2) sin ( T /2 – 2x ) %3D

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.4: Parametric Equations And Further Graphing
Problem 55PS
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Trigonometric Equations  

Lesson 08 – Trigonometric Equations Theorem 1: If sin e = sin O then a) Ө - Ф+ 2K п or b) е%3D (п -Ф) + 2Кп where K is an integer Theorem 2: If cos @ 3D cos Ф then a) Ө3 Ф+ 2K п or b) e = - 0 + 2K I where K is an integer Theorem 3: If tan e = tan O then a) e = 0 c) e = 0 + KT where K is an integer or Direction: Find the fundamental solutions using the theorems 1, 2 and 3: 1. sin (5x + T ) E sin (x + п /2) %3D 2. tan (3x – T/2 ) cot 2x 3. COs (x + п /2) 3D sin ( п /2 — 2х)
Transcribed Image Text:Lesson 08 – Trigonometric Equations Theorem 1: If sin e = sin O then a) Ө - Ф+ 2K п or b) е%3D (п -Ф) + 2Кп where K is an integer Theorem 2: If cos @ 3D cos Ф then a) Ө3 Ф+ 2K п or b) e = - 0 + 2K I where K is an integer Theorem 3: If tan e = tan O then a) e = 0 c) e = 0 + KT where K is an integer or Direction: Find the fundamental solutions using the theorems 1, 2 and 3: 1. sin (5x + T ) E sin (x + п /2) %3D 2. tan (3x – T/2 ) cot 2x 3. COs (x + п /2) 3D sin ( п /2 — 2х)
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