Question

if sec a + tan a = x then tan a = ?​

Answer 1

Answer:

= (x2 - 1) /2x

Step-by-step explanation:

Given, sec A + tan A = x                  ... (1)

 

Now, we know the identity 1 + tan2A = sec2A

sec2A - tan2A = 1

(secA - tanA) (sec A + tanA) = 1          [Using the identity: a2 - b2 = (a - b)(a + b)]

secA - tanA = 1/x           ... (2)      [Using the given equation (1)]

 

Now, subtract (2) from (1), we get,

2 tan A = x - 1/x = (x2 - 1) /x

Thus, tan A = (x2 - 1) /2x

Answer 2

TANa=x-seca=x-1/cosa

HOPE IT HELPS