Question

if SinQ+cosQ=a
tanQ+cotQ=b
show that a ​

Answer 1

Answer:

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Answer 2

Answer:

©{(sinA+cosA) ^2}-1/2=1/tanA+cotA

©(sin^2A+cos^2A+2sinAcosA) -(sin^2A+cos^2A) =1/tanA+cotA

©2sinAcosA/2=1/tanA+cotA

©sinAcosA=1/sinA/cosA+cosA/sinA

©1/sin^2A+cos^2A/sinAcosA

©sinAcosA=sinAcosA

Hence Proved