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If a,b satisfy equation sin2a=cos2b, then possible value(s) of expression 2/pie [a-b-pie/4] is/are ...

If a,b satisfy equation sin2a=cos2b, then possible value(s) of expression 2/pie [a-b-pie/4] is/are ...

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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sushmitha raj
42 Points
4 years ago
sin2a=cos2b can be written as
sin2a=sin(pi/2-2b)
2a=pi/2-2b
a=pi/4-b
2/pi(a-b-pi/4)=2/pi(pi/4-2b-pi/4)
=-4b/pi

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