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| 1. |
(1+tan×tan)(1+cot×cot) |
| Answer» Your question is incorrect.Question.{tex}\\huge \\frac{1+\\tan^2\\theta}{1-\\cot^2\\theta}{/tex}Solution:{tex}\\huge \\frac{1+\\tan^2\\theta}{1-\\cot^2\\theta}{/tex}\xa0{tex}\\huge\\implies \\frac{\\sec^2\\theta}{cosec^2\\theta}\\implies {\\sec^2\\theta}\\times \\frac{1}{cosec^2\\theta}\\space\\space\\space\\space\\space\\space\\space\\space\\space\\space\\begin{cases}\\ \\sec^2\\theta=1+\\tan^2\\theta \\\\cosec^2\\theta=1+\\cot^2\\theta \\\\end{cases}{/tex}{tex}\\huge \\implies{/tex}{tex}\\huge \\frac{1}{\\cos^2\\theta}\\times{\\sin^2\\theta}\\space\\space\\space\\space\\space\\space\\space\\space\\space\\space\\begin{cases}\\ \\sec^2\\theta=\\frac{1}{\\cos^2\\theta} \\\\cosec^2\\theta=\\frac{1}{\\sin^2\\theta} \\\\end{cases}{/tex}{tex}\\huge\\implies \\frac{\\sin^2\\theta}{\\cos^2\\theta}\\implies \\boxed {\\tan^2\\theta}{/tex} | |