Question

Verify that cot 30°- cot 60° -1/cot 30° + cot 60°= cot90°​

Answer 1

cot 30-cot60-1/cot 30+cot 60

=√3-(1/√3)-1/√3+(1/√3)

=(2-√3/√3)/(4/√3)

=2-√3/4