Basic trig equation solving

Solve a single trigonometric equation (sin, cos, or tan) in a given interval, possibly with a linear transformation of the variable.

4 questions · Easy -1.5

1.05o Trigonometric equations: solve in given intervals

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OCR MEI C2 Q1

3 marks Easy -1.2

1 Find all the angles in the range \(0 ^ { 0 } \leq x \leq 360 ^ { 0 }\) satisfying the equation \(\sin x + \frac { 1 } { 2 } \sqrt { 3 } = 0\).

AQA AS Paper 2 2022 June Q2

1 marks Easy -1.8

2 Given that $$\cos \left( \theta - 20 ^ { \circ } \right) = \cos 60 ^ { \circ }$$ which one of the following is a possible value for \(\theta\) ?
Circle your answer.
[0pt] [1 mark] \(40 ^ { \circ }\) \(140 ^ { \circ }\) \(280 ^ { \circ }\) \(320 ^ { \circ }\)

AQA AS Paper 1 2019 June Q1

1 marks Easy -1.8

State the number of solutions to the equation \(\tan 4\theta = 1\) for \(0° < \theta < 180°\) Circle your answer. [1 mark] 1 2 4 8

AQA Paper 1 2024 June Q5

3 marks Easy -1.2

Solve the equation $$\sin^2 x = 1$$ for \(0° < x < 360°\) [3 marks]