JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

\alpha ,\;\,\,\beta \left( {\alpha \ne \beta } \right)

satisfies the equation a

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

, then the value of

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

View answer and explanation

Correct option: A

b/a

Option A (b/a) is correct because by using trigonometric identities and subtracting the equations for α and β, we can derive the value of tan((α + β)/2).

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\triangle P Q R, \angle R=\frac{\pi}{2}

. If

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, then If

0<\alpha<\pi / 6

and

\sin \alpha+\cos \alpha=\sqrt{7} / 2

, then

\tan \alpha / 2

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