If tanA= b/a where a and b are real numbers find value of Sin^2A.
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2
Answer:
sin 2A=2 sin A cosA
=2 ×b×a
sin 2A=2ab
Step-by-step explanation:
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Tan theta= perpendicular/ base
Given Tan A=b/a
Then
Perpendicular =b
Base = a
Pythagoras Theorem
Hypotenuse^2=Base^2+Perpendicular^2
Hypotenuse^2=a^2+b^2
Hypotenuse = square roots a^2+b^2
Sin A= Perpendicular/hypotenuse
Sin A= b/square roots a^2+b^2
Squaring both sides
Sin^2A= b^2 /a^2+b^2
Hopefully it’s helpful for you
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Given Tan A=b/a
Then
Perpendicular =b
Base = a
Pythagoras Theorem
Hypotenuse^2=Base^2+Perpendicular^2
Hypotenuse^2=a^2+b^2
Hypotenuse = square roots a^2+b^2
Sin A= Perpendicular/hypotenuse
Sin A= b/square roots a^2+b^2
Squaring both sides
Sin^2A= b^2 /a^2+b^2
Hopefully it’s helpful for you
Please mark me as a brainliest
Thanks
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