JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The total number of ordered pairs

\left( {r,\,\,\theta } \right)

satisfying

r\,\,\sin \,\,\theta = 3,\,\,r = 4\left( {1 + \sin \,\,\theta } \right)

, where

r > 0

and

\theta \in \left[ { - \pi ,\,\,\pi } \right]

View answer and explanation

Correct option: B

\mathrm{2}

Option B (2) is correct because solving the system of equations yields two valid solutions for

\theta

within the given interval.

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