If 12 sin x – 9 sin2 x attains its maximum value at x = α, then write the value of sin α.
f(x)=12sin(x) - 9sin2(x)
f’(x)= 12cos(x)-18sin(x)cos(x)
f’(x)=0 for the maximum value of f(x)
12cos(x)-18sin(x)cos(x)=0
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If 12 sin x – 9 sin2 x attains its maximum value at x = α, then write the value of sin α.
f(x)=12sin(x) - 9sin2(x)
f’(x)= 12cos(x)-18sin(x)cos(x)
f’(x)=0 for the maximum value of f(x)
12cos(x)-18sin(x)cos(x)=0