Math, asked by panditaryan2003, 1 year ago

1+Tansq.A/1+cotsq.A=


HannanM: as you said 1 is the wrong answer, so could you tell the correct answer plz

Answers

Answered by StudyBaba
0
HOLA

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 \frac{1 \:  +  \: tan {}^{2} }{1 \:  +  \: cot {}^{2} }  =  \: what \\  \\  \\ tan \:  =  \:  \frac{sin}{cos}  \:  \:  \:  \: cot \:  =  \:  \frac{cos}{sin}  \\  \\  \\  \frac{1 \:  +  \: ( \frac{sin}{cos}) {}^{2}  } {1 \:  +  \: ( \frac{cos}{sin}) {}^{2}  }  \:  \:  \: (cancelation) \:  \\  \\  \\  \frac{1}{1}  =  \: 1 \\  \\

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HOPE U UNDERSTAND ❤❤

panditaryan2003: wrong answer
Answered by HannanM
1

Hello mate

1+tan^2A/ 1+cot^2 A

1+tan^2 A = sec^2 A

and, 1 +cot^2A = Cosec^2A

The answer is Sec^2A/cosec^2A

sec= 1/cos , cosec = 1/sin

1/cos^2 A/ 1/sin^2 A

Sin^2A/Cos^2A = Sin^2A/1-Sin^2A

cancel Sin^2A

therefore, 1/1 = 1


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