Question

show that(1+cot^2 A) (1-cos A) (1+ cosA) =1​

Answer 1

Step-by-step explanation:

LHS=(1-Cos^(2)A)(1+Cot^(2)A)

=Sin^(2)A(1+Cos^(2)A/Sin^(2)A)

=(Sin^(2)A)(Sin^(2)A+Cos^(2)A)/Sin^(2)A

=Sin^(2)A(1)/Sin^(2)A=1*1=1