Question

Write the first trigonometric function in terms of the second for θ in the given quadrant.. sec θ, sin θ; θ in quadrant I

Answer 1

We have sec  = 1/cos

Then we also have  cos^2 = 1 – sin^2

Also we have cos = sqrt (1 – sin^2)

Substitute the derived cosine function to sec then we have

Sec = 1/(sqrt(1-sin^2)