Question

If sec θ + tanθ = x, write the value of sec θ − tan θ in terms of x.

Answer 1

Answer:

The value of sec(theta) - tan (theta) =1/x

Answer 2

sec θ − tan θ = 1/x

Step-by-step explanation:

Given: sec θ + tanθ = x

Find: sec θ − tan θ

Solution:  

sec θ − tan θ = (sec θ − tan θ) (sec θ + tanθ) / (sec θ + tanθ)

   = sec²θ − tan²θ / (sec θ + tanθ)

  We know that  sec²θ − tan²θ = 1.

So sec²θ − tan²θ / (sec θ + tanθ) = 1/x

Therefore sec θ − tan θ = 1/x