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For what value of x does 6 sin (2x – 25)o attain its maximum value…

For what value of x does 6 sin (2x – 25)o attain its maximum value in the range 0o (leq) x (leq) 180o
  • A.
    12(frac{1}{2})
  • B.
    32(frac{1}{2})
  • C.
    57(frac{1}{2})
  • D.
    147(frac{1}{2})
Correct Answer: Option C
Explanation

y = 6 sin (2x – 25)o
(frac{dy}{dx}) = -12 cos(2x – 25o)
(frac{dy}{dx}) = 0
-12 cos x (2x – 25o) = 0
= cos(2x – 25o) = 0
= 2x – 25o = cos-1(0)
= 2x – 25o
= 90o
x = (frac{115}{2})

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