Question

write square root of y^2+4 in terms of theta (X) when y=2tanX

Answer 1

\[\sqrt{(2\tan(x))^2+4}\]
\[\sqrt{4\tan^2(x)+4}\]
\[2\sqrt{\tan^2(x)+1}\]
\[2\sqrt{\sec^2(x)}\]
\[2 \sec(x)\] or i guess
\[2|\sec(x)|\] but you usually assume x is such that sec(x) > 0

Answer 2

thanks so much

Answer 3

yw