Mathematics - Trigonometric Equation Question with Solution | TestHub

MathematicsTrigonometric EquationTrigonometric EquationMedium2 minQB
MathematicsMediumsingle choice

Statement 1: sin 2 > sin 3 (radian measure). Statement 2: If x, y ∈ (π/2, π) and x < y, then sin x > sin y.

Options:

Answer:
A
Solution:

Sine decreases strictly on (π/2, π), and π/2 < 2 < 3 < π. Hence Statement 2 proves Statement 1.

Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation
⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...