Question

cot 45°-tan 45º /cot 45°-tan 45º​

Answer 1

Step-by-step explanation:

We have,

tan 45 = sin 45/cos 45 …………………………………………….(1)

But we know, sin 45 = 1/√2 and cos 45 = 1/√2

Substituting in (1),

tan 45 = (1/√2) ÷ (1/√2) = 1/√2 x √2/1 = (1x√2)/(√2x1) = 1

and cot 45 = 1/tan 45 = 1/1 = 1

tan 45 + cot 45 = 1+1 =2

tan 45 x cot 45 = 1 x 1 = 1