Question

prove that 1-tanA/1+tanA=cotA-1/cotA+1​

Answer 1

Step-by-step explanation:

on lhs

1-tanA/1+tanA

(1 - sinA/cosA) / (1+ sinA/cosA)

(cosA - sinA)/cosA / (sin A + cosA)/cosA

cosA - sinA/sin A + cosA ........ LHS

now on RHS

cotA-1/cotA+1

(cosA /sinA -1 )/ (cosA /sinA+1)

(cosA -sinA)/sinA / (cosA + sin A)/sin A

(cosA -sinA)/(cosA + sin A) .......... RHS

therefore lhs = rhs

hence proved

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