If $\cot \left( {{\rm{\alpha }} + {\rm{\beta }}} \right) = 0,{\rm{\;then}}\,\,\sin \left( {{\rm{\alpha }} + 2{\rm{\beta }}} \right)$ is equal to

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

\cot \left( {\mathrm{\alpha } + \mathrm{\beta }} \right) = 0,\mathrm{\;then}\,\,\sin \left( {\mathrm{\alpha } + 2\mathrm{\beta }} \right)

is equal to

View answer and explanation

Correct option: A

\sin \mathrm{\alpha }

Option A (

\sin \mathrm{\alpha }

) is correct because, given the condition, the expression simplifies to

\sin{\alpha}

using trigonometric identities.

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