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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If   cot  θ+tan⁡  θ=m    and  sec⁡  θ−cos⁡  θ=n\mathrm{\;cot}\,\,\mathrm{\theta } + \tan \,\,\mathrm{\theta } = m\mathrm{\;}\,\,\mathrm{and}\,\,\sec \,\,\mathrm{\theta } - \cos \,\,\mathrm{\theta } = n then which of the following is correct ?

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Correct option: A
m  (mn2)1/3−n  (nm2)1/3=1m\,\,{\left( {m{n^2}} \right)^{1/3}} - n\,\,{\left( {n{m^2}} \right)^{1/3}} = 1
Option A (m  (mn2)1/3−n  (nm2)1/3=1m\,\,{\left( {m{n^2}} \right)^{1/3}} - n\,\,{\left( {n{m^2}} \right)^{1/3}} = 1) is correct because it is the simplified form of the equation after substituting and using trigonometric identities.

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