JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Application +4 | -1

\alpha ,\;\,\beta \in \left( {0,\;\,\frac{\pi }{2}} \right),\,\,\sin \,\,\alpha = \frac{4}{5}

and

\cos \,\,\left( {\alpha + \beta } \right) = - \frac{{12}}{{13}}

, then

\sin \,\,\beta

is equal to

View answer and explanation

Correct option: A

\frac{{63}}{{65}}

Option A,

\frac{{63}}{{65}}

, is correct because it is the value of

\sin \,\beta

calculated using the given values of

\sin \,\alpha

and

\cos \,\left( {\alpha + \beta } \right)

and the trigonometric identity for

\sin(\alpha + \beta - \alpha)

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