Math, asked by sanjanayadav30, 8 months ago

sin^2+cos^2=1 prove ​

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Answered by Anonymous
0

hope it will help you:-)

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Answered by vishwesh23
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Question-sin^2theta+cos^2theta=1

Answer=

Suppose Triangle ABC is an right angled triangle

Therefore,By applying Pythagoras theorem in triangle ABC

BC^2+AB^2=AC^2.........(I)

Dividing both the sides of (I) by AC^2

Therefore, BC^2+AB^2/AC^2=AC^2/AC^2

Therefore, BC^2/AC^2+AB^2/AC^2=1

Therefore, [BC/AC]^2+[AB/AC]^2=1

Therefore,(sintheta)^2+(costheta)^2=1....[(sintheta)^2 is written as sin^2theta and (costheta)^2 is written as cos^2theta]

ANSWER= Sin^2theta+cos^2theta=1

Hence Proved...

HOPE IT WILL HELPFUL....

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