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C Secure l https://www.webassign.net/web/Student/Assignment-Responses/lastdep-18048777 According to our records you have not yet redeemed an access code for this class or purchased access online. The After that date you will no longer be able to see your WebAssign assignments or grades Get access now 008. Find all values of x such that sin 2x = sin x and 0 x 2. (Enter your answers as a comma-separated list.) If you have had difficulty with these problems, you should look at Appendix D of your text or YouBook.

Explanation / Answer

sin(2x) = sin(x)

sin(2x) - sin(x) = 0

2*sin(x)*cos(x) - sin(x) = 0 (because sin(2x) = 2*sin(x)*cos(x))

sin(x)(2 cos(x) - 1) =0

sin(x) = 0

x=0 ,2

2 cos(x) -1 = 0

cos(x) = 1/2

x = /3 ,5/3

so solution of equation will be

x = 0 ,/3 ,5/3 ,2

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