If sec θ + tanθ = 5, then what is the value of secθ - tan θ ?
Answer & explanation
Correct answer: option 1
We know that sec² θ - tan² θ = 1
⇒ (sec θ - tan θ)(sec θ + tan θ) = 1
⇒ (sec θ - tan θ)(5) = 1
⇒ (sec θ - tan θ) = $\frac{1}{5}$
If sec θ + tanθ = 5, then what is the value of secθ - tan θ ?
Correct answer: option 1
We know that sec² θ - tan² θ = 1
⇒ (sec θ - tan θ)(sec θ + tan θ) = 1
⇒ (sec θ - tan θ)(5) = 1
⇒ (sec θ - tan θ) = $\frac{1}{5}$