Question

If sec theta + tan theta equal to X then tan theta is equal to what

Answer 1

Answer :

$sec^2\theta-tan^2\theta=1 \\\\ (sec\theta-tan\theta)(sec\theta+tan\theta)=1 \\\\ sec\theta-tan\theta=\frac{1}{x}$

$sec\theta-tan\theta=\frac{1}{x} \\\\sec\theta+tan\theta=x$

_____________

$2sec\theta=x+\frac{1}{x} \\\\sec\theta=\frac{x^2+1}{2x}$

$tan\theta=x-sec\theta \\\\ tan\theta=x-\frac{x^2+1}{2x} \\\\ tan\theta=\frac{x^2-1}{2x}$

Answer 2

Answer:

Step-by-step explanation: