Trigonometry | Solve for 𝜃 | AQA, AS Mathematics Paper 1, May 2023, Question 4

It is given that 5 cos^2⁡𝜃−4 sin^2⁡𝜃=0
(a) Find the possible values of tan⁡𝜃, giving your answers in exact form.
(b) Hence or otherwise, solve the equation 5 cos^2⁡𝜃−4 sin^2⁡𝜃=0 giving all solutions to the nearest 0.1° in the interval 0°≤𝜃≤360°

AQA, AS Mathematics Paper 1, May 2023, Question 4.

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