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=7
