Standard Level

11.19 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)=cos2x−√3sin2x.

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