| Exam Board | Edexcel |
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| Module | C34 (Core Mathematics 3 & 4) |
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| Year | 2015 |
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| Session | June |
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| Topic | Reciprocal Trig & Identities |
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7. (a) Use the substitution \(t = \tan x\) to show that the equation
$$4 \tan 2 x - 3 \cot x \sec ^ { 2 } x = 0$$
can be written in the form
$$3 t ^ { 4 } + 8 t ^ { 2 } - 3 = 0$$
(b) Hence solve, for \(0 \leqslant x < 2 \pi\),
$$4 \tan 2 x - 3 \cot x \sec ^ { 2 } x = 0$$
Give each answer in terms of \(\pi\). You must make your method clear.