Question

prove that
(tan theta +cot theta)^2 - ( tan theta _cot theta )^2 =4​

Answer 1

Answer:

Step-by-step explanation:

(tanθ +cotθ)² - (tanθ - cotθ)² = 4

L.H.S

(tanθ +cotθ + tanθ -cotθ)(tanθ+cotθ - tanθ+cotθ)       [using a²-b² = (a+b)(a-b)]

(2tanθ)(2cotθ)

4 * 1/cotθ  *cotθ      [tan θ  =1/cotθ]

4

L.H.S = R.H.S

HENCE PROVED