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If sinΦ+cosΦ=√3 then prove that tanΦ+cotΦ=1

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If sinΦ+cosΦ=√3 then prove that tanΦ+cotΦ=1

Posted by Kingdon Pandey 5 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Pk . 5 years, 11 months ago

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Sonu Rawat 5 years, 11 months ago

sinΦ+cosΦ=√3 squaring on both side (sinΦ +cosΦ)sq.=(√3)sq. sin sq Φ+cos sq Φ +2 sinΦ.cosΦ= 3 1+ 2sinΦ.cosΦ=3 2sinΦ.cosΦ= 3-1 2sinΦ.cosΦ=2 sinΦ.cosΦ=1 _eq.1 tanΦ+cotΦ sinΦ upon cos Φ+ cosΦupon sinΦ sinΦsq.+ cos sq.Φ upon sin. cosΦ 1 by 1=1 hence proved

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