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iGCSE (2021 Edition)

11.18 Applications of the differentiation of trigonometric functions

Interactive practice questions

The curve $y=-5x\sin x$y=5xsinx passes through the point $P\left(\pi,0\right)$P(π,0).

Find the equation of the tangent at point $P$P.

Medium
6min

Consider the function $y=\frac{\sin x}{1+\cos x}$y=sinx1+cosx.

Medium
5min

Consider the function $f\left(x\right)=\cos2x-\sqrt{3}\sin2x$f(x)=cos2x3sin2x.

Medium
10min

Consider the function $f\left(x\right)=-4\cos3x$f(x)=4cos3x.

Solve for $\theta$θ, the angle that the tangent at $x=\frac{\pi}{12}$x=π12 makes with the positive $x$x-axis.

Give your answer to the nearest degree.

Medium
5min
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Outcomes

0606C14.3B

Use the derivatives of the standard functions sinx, cos x, tan x, together with constant multiples, sums and composite functions.

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