Math, asked by jaypaltholeti, 9 months ago

prove that sin2a+cos2a is equal to one​

Answers

Answered by aaryankhanduja
0

Answer:

Step-by-step explanation:

Hey there!

L.H.S

=sin2A/1-cos2A

= 2sinAcosA/1-(1-2sin²A)

= 2sinAcosA/2sin²A

=cosA/sinA

=cotA

=R.H.S

hope helped !!

Answered by adityashyamsundar8
0

Step-by-step explanation:

In a right angled triangle ABC, with angle B = 90°,

sinA=BC/AC and cosA=AB/AC

angle B=90°

By Pythagoras theorem,

AB²+BC²=AC²

sin²A+cos²A=(BC/AC)²+(AB/AC)²

=AB²+BC²/AC²

=AC²/AC²

=1

Hence proved.

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