JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

a \cos 2 \theta+b \sin 2 \theta=c

has

\alpha

and

\beta

as its solutions, then

\tan \alpha+\tan \beta

and

\tan \alpha \tan \beta

are, respectively

View answer and explanation

Correct option: A

\frac{2 b}{c+a}, \frac{c-a}{c+a}

Option A (

\frac{{2 b}}{{c+a}}, \frac{{c-a}}{{c+a}}

) is correct because it gives the correct expressions for

\tan \alpha + \tan \beta

and

\tan \alpha \tan \beta

based on the given equation.

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