Mathematics - Trigonometric Equation Question with Solution | TestHub
MathematicsTrigonometric EquationTrigonometric EquationMedium2 minQB
MathematicsMediumsingle choice
Statement 1: The only solutions of sin²⁰⁰⁹x + cos²⁰¹⁰x = 1 are x = mπ, m ∈ ℤ. Statement 2: -1 ≤ sin x, cos x ≤ 1 and sin²x + cos²x = 1.
Options:
Answer:
D
Solution:
Statement 1 is false: besides every mπ, x = π/2 + 2kπ also gives 1 + 0 = 1. Statement 2 is the standard Pythagorean identity and bounds, hence true.
Stream:JEESubject:MathematicsTopic:Trigonometric EquationSubtopic:Trigonometric Equation
⏱ 2mℹ️ Source: QB
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