JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

\mathrm{\alpha },\mathrm{\;\beta }

are different values of

x

satisfying

a\cos x + b\sin x = c

, then

\tan \left( {\;\frac{{\mathrm{\alpha } + \mathrm{\beta }}}{2}} \right)

is equal to

View answer and explanation

Correct option: C

\frac{b}{a}

Option C (

\frac{b}{a}

) is correct because it is derived by using the tangent half-angle substitution and solving the resulting quadratic equation.

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