Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric EquationEasy2 minQB

MathematicsEasyinteger

If $θ \in [0, 5 π]$ and $r \in R$ such that $2 sin θ = r^{4} - 2 r^{2} + 3$ then the maximum no.of values of the pair $(r, θ)$ is $____$

Answer:

Solution:

$2 sin θ = (r^{2} - 1)^{2} + 2$

This is possible only $sin θ = 1, r^{2} = 1, r = \pm 1$

$θ = \frac{π}{2}, \frac{5 π}{2}, \frac{9 π}{2}$

No.of values of the pair $= 6$ .

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

⏱ 2mℹ️ Source: QB

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