Math, asked by MANOJPRADHANI8628, 9 months ago

Prove that (1+cotA+t
anA) (sinA-cosA)= sinA tanA-cotA×cosA

Answers

Answered by sahilsingh8676

1

Answer:

L.H.S = (1+cotA+tanA)(sinA-cosA)

= (sinA+sinAcotA +tanAsinA-cosA -cosAcotA -tanAcosA)

=(sinA+sinAcosA/sinA+tanAsinA-cosA-cosAcotA -cosAsinA/cosA)

= (sinA+cosA+tanAsinA -cosA- cosAcotA -sinA)

= tanAsinA -cosAcotA

= sinAtanA-cotAcosA

Step-by-step explanation:

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