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If sinΦ+cosΦ=√3 then prove that tanΦ+cotΦ=1 |
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Answer» Hello sinΦ+cosΦ=√3squaring on both side(sinΦ +cosΦ)sq.=(√3)sq.sin sq Φ+cos sq Φ +2 sinΦ.cosΦ= 31+ 2sinΦ.cosΦ=32sinΦ.cosΦ= 3-12sinΦ.cosΦ=2sinΦ.cosΦ=1 _eq.1tanΦ+cotΦsinΦ upon cos Φ+ cosΦupon sinΦsinΦsq.+ cos sq.Φ upon sin. cosΦ1 by 1=1hence proved |
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