For what value of x does 6 sin 2x - 25 o attain... - JAMB Mathematics 1998 Question
For what value of x does 6 sin (2x - 25)o attain its maximum value in the range 0o x 180o
A
12
B
32
C
57
D
147
correct option: c
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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