Question

prove that (I+Cot A+tan A) (Sin A-cos A) = Sin A tan A-Cot A COSA ​

Answer 1

Answer:

Let 

L.H.S= (1+cotA+tanA)(sinA−cosA)

=(1+sinAcosA+cosAsinA)(sinA−cosA)

=(sinAcosAsinAcosA+cos2A+sin2A)(sinA−cosA)

=(1+sinAcosA)(sinAcosAsinA−cosA)

Now,

R.H.S=sinAtanA−cotAcosA

=sinAcosAsinA−sinAcosAcosA

=cosAsin2A−sinAcos2A

=sinAcosAsin

Step-by-step explanation:

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