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If cos^2 x - 6*sin 2x = 0  what is one value of x?

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math30fail | Student, Undergraduate | Honors

Posted March 28, 2012 at 3:00 AM via web

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If cos^2 x - 6*sin 2x = 0  what is one value of x?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 28, 2012 at 3:12 AM (Answer #1)

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One value of x is required for which `cos^2(x) - 6*sin 2x =0`

`cos^2(x) - 6*sin 2x =0`

=> `cos^2(x) -12*sin x*cos x = 0`

=> `cos x(cos x - 12*sin x) = 0`

=> `cos x = 0 and cos x = 12*sin x`

cos x = 0

=> x = 90

One value of x for which cos^2(x) - 6*sin 2x =0 is x = 90 degrees

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