Question

If secθ-tanθ=2, then the value of secθ+tanθ is
a. -2
b. 1/2
c. 1
d. 2

Answer 1

secθ - tanθ = 2   is given

secθ + tanθ = ???

we know that

sec^2 θ = 1 + tan^2 θ

sec^2 θ - tan^2 θ = 1

(secθ - tanθ)(secθ + tanθ) = 1

(secθ + tanθ)*2 = 1

secθ + tanθ = 1/2

Hence, option (b) might be correct