Question

If A, B, C, D are the angles of a quadrilateral, then

$\frac { \tan A + \tan B + \tan C + \tan D } { \cot A + \cot B + \cot C + \cot D }$ is equal to

• A. tan A tan B tan C tan D
• B. cot A cot B cot C cot D
• C.
• D.

Answer 1

Answer: (A)

tan A tan B tan C tan D

Answer 2

We have ⇒

⇒ ⇒ ⇒

= $\frac { \tan A + \tan B + \tan C + \tan D } { \cot A + \cot B + \cot C + \cot D } = \tan A \tan B \tan C \tan D$