Question

if secant theta + tan theta is equal to X prove that secant theta is equal to x square - 1 by 2x​

Answer 1

Answer:

Step-by-step explanation:

sec theta + tan theta = x......(1)

So sec theta - tan theta = 1/x ......(2){ because sec^2 theta - tan^2 theta = 1

i.e (sec+tan)(sec-tan) = 1

i.e sec-tan = 1/x }

Adding eqn (1) & (2)

2 sec theta = x + 1/x

So sec theta = (x^2 +1)/2x