Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

When a tangent line is horizontal?

Find all points on the graph of the function f(x) = 2sinx + sin²x at which the tangent line is horizontal.

I need help. I am stuck.

1 Answer

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  • Como
    Lv 7
    1 month ago

    f ' (x) = 2 cos x + 2 sin x cos x = 0

    2 cos x ( 1 + sin x ) = 0

    cos x = 0 , sin x = -1/2

    x = π/2 , 3π/2 , x = 7π/6 , 11π/6_________ ± 2n π

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