(a)[2]
Solve the equation $\tan^{-1}(5x-3)=-\frac{1}{4}\pi$ for $x$.
(b)[4]
Solve the equation $5\cos^2\theta=4\sin\theta+4$ in the range $\frac{1}{2}\pi \leq \theta \leq 2\pi$.
Mathematics 9709 · AS & A Level · Trigonometry
Solve the equation $\tan^{-1}(5x-3)=-\frac{1}{4}\pi$ for $x$.
Solve the equation $5\cos^2\theta=4\sin\theta+4$ in the range $\frac{1}{2}\pi \leq \theta \leq 2\pi$.