# SinA +cosA = root3 than find tanA + cotA = 1

2
by tarakp772

2015-03-27T20:19:46+05:30

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SinA + cosA = √3
Squaring on both sides we get,
(SinA + cosA)² = (√3)²
Sin²A + cos²A +2sinAcosA = 3
1 + 2sinAcosA = 3
2sinAcosA = 3-1
SinAcosA = 2/2
sinAcosA = 1......................(!)

tanA+cotA = 1
sinA/cosA + cosA/sinA = 1
sin²A + cos²A /sinAcosA = 1
1/sinAcosA = 1
sinAcosA = 1.....................(!!)

! = !!

thus tanA + cotA = 1

Apt
then y did u post the question?
We got the answer just now
hmm
thnks
2015-03-27T20:20:54+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Given that sinA+cosA=√3
tanA+cotA=sin^2A+cos^2A/sinAcosA=1/sinAcosA
(sinA+cosA)^2=1+2sinAcosA.........(1)
given that sinA+cosA=√3
(1)⇒3-1/2=sinAcosA=1
hence proved