Solve equation given in radians/exact form

A question is this type if and only if it requires solving a quadratic trig equation where answers must be expressed exactly in terms of π (radians), rather than as decimal degrees.

3 questions · Moderate -0.4

1.05o Trigonometric equations: solve in given intervals

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Edexcel C2 2007 January Q6

6 marks Standard +0.3

6. Find all the solutions, in the interval \(0 \leqslant x < 2 \pi\), of the equation $$2 \cos ^ { 2 } x + 1 = 5 \sin x$$ giving each solution in terms of \(\pi\).

Edexcel C2 Q3

6 marks Moderate -0.8

3. Giving your answers in terms of \(\pi\), solve the equation $$3 \tan ^ { 2 } \theta - 1 = 0 ,$$ for \(\theta\) in the interval \(- \pi \leq \theta \leq \pi\).

OCR C2 Q1

5 marks Moderate -0.8

Giving your answers in terms of \(\pi\), solve the equation

$$3 \tan ^ { 2 } \theta - 1 = 0 ,$$ for \(\theta\) in the interval \(- \pi \leq \theta \leq \pi\).