Write the first trigonometric expression in terms of the second expression. tan(𝑥);sec(𝑥)

Answer 1

cos^2x + sin^2x = 1

divide by cos^2x

to get

1 + tan^2x = sec^2x

tan^2x = sec^2 - 1

tanx = + sqr(sec^2 -1)

tanx = sinx/cosx = sinx(1/cosx)

secx = 1/cosx

tanx = sinx(1/cosx) = sinxsecx

tanx = sinxsecx