Mathematics · Trigonometric Equations
Evaluate the following two statements: Statement-I: In the interval [0, 2π], the number of common solutions of the equations 2sin2θ - cos 2θ = 0 and 2cos2θ - 3sinθ = 0 is two. Statement-II: The number of solutions of 2cos2θ - 3sinθ = 0 in the interval [0, π] is two.
- 1Statement-I and Statement-II are both true✓
- 2Statement-I is true, Statement-II is false
- 3Statement-I is false, Statement-II is true
- 4Statement-I and Statement-II are both false
Correct answer
Statement-I and Statement-II are both true
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