Further trigonometric identitiesEdexcel International A Level Maths: Mind map

Exam questions on Further trigonometric identities

1. The angle $\theta$ is acute and $\tan\theta=\frac{5}{12}$.
   Find the exact value of $\sec\theta-\tan\theta$.2 marks
2. Throughout, $x$ is any angle for which the expressions are defined.
   Show that $\dfrac{\sec^2x-1}{\sec^2x}\equiv\sin^2x$.2 marks
3. Angles are measured in degrees and $0\le\theta<360$.
   Given that $\sec^2\theta=4\tan\theta-2$, find the two possible values of $\tan\theta$.3 marks