Figure 1 below shows the sector $AOB\,$ of a circle. The angle $AOB\,$ is $\theta\,$ radians.

Figure for question 3

The area of the triangle $AOB\,$ is $34\displaystyle \frac{3}{4}$ of the area of the sector $A O B$ .

Show that $sin⁡θ−34θ=0\displaystyle \sin\theta - \frac{3}{4}\theta = 0$ .

Use the Newton-Raphson method with $θ0=2\theta_0 = 2$ to find $\theta_4\,$ as an approximation for $θ\theta$ . Give your answer to four decimal places, and show the result of each iteration.

Figure 1 below shows the sector $AOB\,$ of a circle. The angle $AOB\,$ is $\theta\,$ radians.

Figure for question 3

The area of the triangle $AOB\,$ is $34\displaystyle \frac{3}{4}$ of the area of the sector $A O B$ .

Show that $sin⁡θ−34θ=0\displaystyle \sin\theta - \frac{3}{4}\theta = 0$ .

Use the Newton-Raphson method with $θ0=2\theta_0 = 2$ to find $\theta_4\,$ as an approximation for $θ\theta$ . Give your answer to four decimal places, and show the result of each iteration.

3 Unit A2 1: Pure Mathematics (A-level only)

Question 220

Markscheme

3 Unit A2 1: Pure Mathematics (A-level only)

Question 220

Markscheme

3 Unit A2 1: Pure Mathematics (A-level only)

Question 220

3 Unit A2 1: Pure Mathematics (A-level only) Questions

3 Unit A2 1: Pure Mathematics (A-level only)

Question 220

3 Unit A2 1: Pure Mathematics (A-level only) Questions