1 Trigonometric Equations
Acute angle between the curves y=cos2x and y= 2siny2x at a common point is
1) π/ 6 2) π/ 3 3) π/ 4 4) π/ 2
SOLUTION y=cos2x and y= 2siny2x
Solving the equations, we get
2siny2x = cos2x⇒ 1 - cos2x ⇒ cos2x = 2cosx =1 cos 2x =1/x => 2x = π/3 => x = π/6
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