Solve equation with reciprocal functions

A question is this type if and only if it requires solving an equation directly involving sec, cosec, or cot (without first proving an identity).

28 questions · Standard +0.0

1.05o Trigonometric equations: solve in given intervals
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Edexcel C3 Q2
6 marks Standard +0.3
2. Find, to 2 decimal places, the solutions of the equation $$3 \cot ^ { 2 } x - 4 \operatorname { cosec } x + \operatorname { cosec } ^ { 2 } x = 0$$ in the interval \(0 \leq x \leq 2 \pi\).
Edexcel C3 Q1
6 marks Standard +0.8
  1. Solve the equation
$$3 \operatorname { cosec } \theta ^ { \circ } + 8 \cos \theta ^ { \circ } = 0$$ for \(\theta\) in the interval \(0 \leq \theta \leq 180\), giving your answers to 1 decimal place.
AQA Paper 2 2020 June Q2
1 marks Easy -2.0
Which one of the following equations has no real solutions? Tick (\(\checkmark\)) one box. \(\cot x = 0\) \(\ln x = 0\) \(|x + 1| = 0\) \(\sec x = 0\) [1 mark]