Prove that:
cosec4θ−cot4θ≡1+2cot2θ\text{cosec}^4 \theta - \cot^4 \theta \equiv 1 + 2\cot^2 \thetacosec4θ−cot4θ≡1+2cot2θ
Hence solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,
cosec4θ−cot4θ=7 \text{cosec}^4 \theta - \cot^4 \theta = 7 cosec4θ−cot4θ=754 exam-style questions on Edexcel A Level Maths Trigonometric Functions, covering 6.1 Secant, Cosecant and Cotangent, 6.2 Graphs of Sec x, Cosec x and Cot x, 6.3 Using Sec x, Cosec x and Cot x, 6.4 Trigonometric Identities, and 6.5 Inverse Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.