Question

If 4x = sec θ and 4/x = tan θ, then 4( x² - 1/x² ) is:

Answer 1

Answer:

4( x² - 1/x² ) = 4(sec^2θ /16 - tan^2θ /16)

= 4/16 * (sec^2θ - tan^2θ)

= 1/4 * (1/cos^2θ - sin^2θ/cos^2θ)

= 1/4 * (1 - sin^2θ) /cos^2θ

= 1/4 * cos^2θ/cos^2θ

= 1/4 = 0.25