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ICSE Class 10 Answered

Prove that: sin2a+cos2a=1
Asked by abhidlw4321 | 03 Oct, 2022, 09:34: PM
Expert Answer
In a right angled triangle ABC, right angled at B, we have
sinA equals fraction numerator open parentheses Opposide space side close parentheses over denominator open parentheses Hypotenuse close parentheses end fraction equals BC over AC
cosA equals fraction numerator open parentheses Adjacent space side close parentheses over denominator open parentheses Hypotenuse close parentheses end fraction equals AB over AC

sin squared straight A space plus thin space cos squared straight A equals left parenthesis BC right parenthesis squared over left parenthesis AC right parenthesis squared plus left parenthesis AB right parenthesis squared over left parenthesis AC right parenthesis squared equals fraction numerator left parenthesis BC right parenthesis squared plus left parenthesis AB right parenthesis squared over denominator left parenthesis AC right parenthesis squared end fraction equals left parenthesis AC right parenthesis squared over left parenthesis AC right parenthesis squared equals 1
Hence comma space sin squared straight A plus cos squared straight A equals 1
Answered by Renu Varma | 06 Oct, 2022, 12:07: PM
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