Question

if cot a= √2+1, then value of tan a-cot a=?​

Answer 1

tan a - cot a = 1/cot a - cot a = 1-cot²a/cot a = 1-(√2+1)²/(√2+1) = 1-{2+2√2+1}/(√2+1) = 1-{3+2√2}/(√2+1) = 1-3-2√2/(√2+1) = -2-2√2/(√2+1)