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The inequality sin 2x > √2 sin 2 x + (2- √2 )cos 2 x holds if x belongs to?

The inequality sin 2x > √2 sin2x + (2-√2 )cos2x holds if x belongs to?
 

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Surya
 
Sin 2x > 2 cos^2 x – sqrt2 (cos^2x – sin^2x)
 
sin2 x > cos 2x + 1 – sqrt 2 cos 2 x
 
Now you can solve this.

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