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Trigonometric Functions and Equations question

2007 · Shift 1 · Q31
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  2. /JEE Advanced
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  4. /Trigonometric Functions and Equations
  5. /2007 · Shift 1 · Q31

Trigonometric Functions and Equations question

2007 · Shift 1 · Q31

JEE AdvancedMathematicsTrigonometric Functions and EquationsMCQ+3 / −1
The number of solutions of the pair of equations 2sin⁡2θ−cos⁡2θ=02cos⁡2θ−3sin⁡θ=02{\sin ^2}\theta - \cos 2\theta = 02{\cos ^2}\theta - 3\sin \theta = 02sin2θ−cos2θ=02cos2θ−3sinθ=0 in the interval [0,2π][0,2\pi][0,2π] is
  1. A
    zero
  2. B
    one
  3. C
    two
  4. D
    four
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