5.3 Homework ,\' o (52) w wii in hd s01e03-Y × Y L × Chegg Study e Solved: In Pr

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5.3 Homework ,' o (52) w wii in hd s01e03-Y × Y L × Chegg Study e Solved: In Problem, establis × Y G is there any way to take a sx Math ay Math Problem s Guided Sol c Secure l https://wwww.webassign.net/web/Student/Assignment-Responses/submit?dep#17508403#Q9 Need Help?Read ItWaichTalk to a Tutor 9. 0/1.33 points |Previous Answers McKTrig 5.3.043. My Notes Ask calcPad Prove the following identity (sinx-cosx)2 = 1-sin 2x We begin by expanding the left side of the equation, and then regroup. We can then use a Pythagorean Identity and a Double-Angle Formula to simplify Functions Relations (sin x-cos x)2=sin2 x _ 2 sin x cos x + sin2( Sets Vi!Vectors -(sin2 x + sin2(0) | )-2sin x cos x Trig Greek x - Hale sin"(0) |x = -2sin x cos x 1-sin 2x Need Help?Read It Talk to a Tutor Submit Answer Save Progress 10. 1/1.33 points | Previous Answers McKTrig7 5.3.047 My Notes Ask Your Teacher Prove the following identity 1-cos 2 We begin on the right side of the equation by using Double-Angle Formulas in the numerator and denominator. We can then reduce, and use a Ratio Identity to simplify 2sín , cos(0) sin 2 1-cos 2

Explanation / Answer

1) ( sin x - cos x )^2 = 1 - sin 2x

( sin x - cos x )^2 = sin^2x - 2 sin x cos x + cos^2 x

= ( sin^2 x + cos^2 x ) - 2 sin x cos x

= 1 - 2 sin x cos x

= 1 - sin 2 x

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