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Thread: trig functions differentiation/integration

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    trig functions differentiation/integration

    1. Find the equation of the tangent to the curve y = sin (pi - x) when x = pi/6.


    2. Find the exact area bounded by the curve y = 2 cos x, the x axis, the y axis and the line x = pi/3.

    3. Find the exact volume of the solid of revolution formed when the curve y = (sin 2x)^1/2 is rotated about the x axis from x = 0 to x = pi/6.

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    Junior Member HeroWise's Avatar
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    Re: trig functions differentiation/integration




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    Re: trig functions differentiation/integration

    Quote Originally Posted by HeroWise View Post


    Isn't the graph for Q2 y = 2 sin x but the question is y = 2 cos x???

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    Re: trig functions differentiation/integration

    Quote Originally Posted by kpad5991 View Post
    Isn't the graph for Q2 y = 2 sin x but the question is y = 2 cos x???
    You're correct


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    Re: trig functions differentiation/integration

    confused.... What do u mean?

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    Re: trig functions differentiation/integration

    Quote Originally Posted by HeroWise View Post
    confused.... What do u mean?
    You drew the graph of instead of .
    HSC 2018 - [English Adv.] • [Maths Ext. 1] • [Maths Ext. 2] • [Chemistry] • [Software Design and Development]

    1(3√3) t2 dt cos(3π/9) = log(3√e) | Integral t2 dt, From 1 to the cube root of 3. Times the cosine, of three pi over nine, Equals log of the cube root of e.

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    Re: trig functions differentiation/integration

    Oh yeah for second question,

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    Re: trig functions differentiation/integration

    Quote Originally Posted by HeroWise View Post
    Oh yeah for second question,
    Is the solution still correct?

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    Re: trig functions differentiation/integration

    yh

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    Re: trig functions differentiation/integration

    Q2) xaxis: right
    yaxis 2sin1 u^2

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