Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric EquationMedium2 minQB

MathematicsMediumsingle choice

The number of values of $y$ in $[- 2 π, 2 π]$ satisfying the equation $∣ sin 2 x ∣ + ∣ cos 2 x ∣ = ∣ sin y ∣$ is

Answer:

Solution:

$1 \leq ∣ sin 2 x ∣ + ∣ cos 2 x ∣ \leq 2$ and $∣ sin y ∣ \leq 1 \Rightarrow sin y = \pm 1 \Rightarrow y = \pm \frac{π}{2}, \pm \frac{3 π}{2}$

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation

⏱ 2mℹ️ Source: QB

Loading discussions...