Question

To Prove :
\small \tt2 {sec}^{2} θ - {sec}^{4} θ - 2 {cosec}^{2} θ + {cosec}^{4} θ = {cot}^{4} - {tan}^{4}2sec2θ−sec4θ−2cosec2θ+cosec4θ=cot4−tan4
\begin{gathered} \\ \\ \end{gathered}​

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Answer 1

$LHS :2sec2θ−sec4θ−2cosec2θ+cosec4θ=(cosec4θ−2cosec2θ)−(sec4θ−2sec2θ)=(cosec4θ−2cosec2θ+1)−(sec4θ−2sec2θ+1)=(cosec2θ−1)2−(sec2θ−1)2=cot4θ−tan4θ= RHS$

Both Answers Are Same

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Answer 2

Step-by-step explanation:

$\sqrt{47089} + \sqrt{24336}$

=>

$\sqrt{7 \times 7 \times 31 \times 31} + \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 13 \times 13}$

=>7×31 + 2×2×3×13×13

=>217 + 156

=>373