solve sin(theta) - 1 = cos(theta) without using the double angle formula

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.2: More On Trigonometric Equations
Problem 30PS
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solve sin(theta) - 1 = cos(theta) without using the double angle formula

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How did you know that you had to multiply both sides by 1/square root of 2.

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