if sin A=3/5,find sin 2A cos 2A
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sin A=3/5
cos A= 1-sin^A
cos A= 4/5
sin 2A=2 sin A.cos A
sin2A=2×(3/5)×(4/5)
sin 2A = 24/25
cos 2A= sin^2 A- cos^2 A
cos 2A= 9/25-16/25
cos 2A=-7/25....
Answered by
2
Answer:Sin 2A=24/25 and Cos2A=7/25
Step-by-step explanation: 1. As we know Sin2A= 2SinACosA
=2SinA*√(1-Sin²A)
=2*3/5*√(1-(3²/5²))
=2*3/5*√(1-(9/25))
=2*3/5*√16/25
=2*3/5*4/5
=24/25
2. Also Cos 2A= 1-2sin²A
=1-2*(9/25)
=1-(18/25)
=7/25
Hope it helps!
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