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If sinA + cosA =√3, then …

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If sinA + cosA =√3, then prove tanA + cotA=1

Posted by Manisha Dhibar 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Yatharth Pandey Pandey 5 years, 8 months ago

(SinA+CosA)^2=(√3)^2 SinA^2+cos^2A+2SinA.CosA=3 1+2SinA.CosA=3 SinA.CosA=1 To prove =TanA+CotA=1 SinA/CosA+CosA/SinA=1 Sin^2A+cos^2A/SinA.CosA=1 1/1=1 (prooved)

3Thank You

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CBSE > Class 10 > Mathematics