Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric EquationMedium2 minQB

MathematicsMediumsingle choice

Let $θ \in [0, 4 π]$ satisfying the equation $(sin θ + 2) (sin θ + 3) (sin θ + 4) = 6$ . If the sum of all values of $θ$ is $K π$ then value of K is

Answer:

Solution:

$sin θ = - 1 \Rightarrow θ = \frac{3 π}{2}, \frac{7 π}{2}$ $∴ K = 5$

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

⏱ 2mℹ️ Source: QB

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