Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric InequationsMedium2 minQB

MathematicsMediuminteger

If $x, y \in [0, 10]$ , then the number of solutions $(x, y)$ of the inequation $3^{s e c^{2} x - 1} 9 y^{2} - 6 y + 2 \leq 1$ is

Answer:

Solution:

$3^{t a n^{2} x} \cdot (3 y - 1)^{2} + 1 \leq 1$

$3^{t a n^{2} x} \geq 1$ and $(3 y - 1)^{2} + 1 \geq 1$

$tan^{2} x = 0, y = 1/3 x = 0, π, 2 π, 3 π$

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Inequations

⏱ 2mℹ️ Source: QB

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