If ${\rm{\;sin}}\,\,{\rm{\theta }} + \cos \,\,{\rm{\theta }} = m{\rm{\;}}\,\,{\rm{and}}\,\,\sec \,\,{\rm{\theta }} + {\rm{cosec}}\,{\rm{\;\theta }} = n,{\rm{\;then\;}}\,\,n\left( {m + 1} \right)\,\,\left( {m - 1} \right)$ is equal to

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

\mathrm{\;sin}\,\,\mathrm{\theta } + \cos \,\,\mathrm{\theta } = m\mathrm{\;}\,\,\mathrm{and}\,\,\sec \,\,\mathrm{\theta } + \mathrm{cosec}\,\mathrm{\;\theta } = n,\mathrm{\;then\;}\,\,n\left( {m + 1} \right)\,\,\left( {m - 1} \right)

is equal to

View answer and explanation

Correct option: C

2m

Option C (

2m

) is correct because simplifying the given expression using trigonometric identities leads to the result

2m