JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

\sin \alpha+\sin \beta=a

and

\cos \alpha-\cos \beta=b

, then

\tan \frac{\alpha-\beta}{2}

is equal to

View answer and explanation

Correct option: B

-b / a

Option B (

-b / a

) is correct because by using sum-to-product trigonometric identities and dividing the resulting equations, we can find that

\tan \frac{{\alpha-\beta}}{{2}} = -\frac{{b}}{{a}}

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