The value of cosec^2 67 + sec^2 57 - cot^2 33 - tan^2 23

The value of cosec2 67 + sec2 57 - cot2 33 - tan2 23 is

  1. 2√2
  2. 2
  3. √2
  4. 0

Answer

cosec2 67 = 1 + cot2 67 and sec2 57 = 1 + tan2 57

Also cot 33 = tan (90 - 33) = tan 57

and tan 23 = cot (90 - 23) = cot 67

Using these values in the given equation, we have the equation 

= 1 + cot2 67 + 1 + tan2 57 - tan2 57 - cot2 67

= 1 + 1

= 2

The correct option is B.