Question

If tan θ = 2, find sec θ​

Answer 1

Answer:

$secθ = \sqrt{5}$

Step-by-step explanation:

Given,

$tanθ = 2 \\ by \: using \: trigonomentric \: identity \: \\ tan {}^{2} θ + 1 = \sec {}^{2}θ \\ = (2) {}^{2} + 1 = sec {}^{2} θ \\ = 4 + 1 = sec {}^{2} θ \\ = sec {}^{2} θ = 5 \\ secθ = \sqrt{5}$

Hope this will help you!!