Question

If sec θ + tan θ = x, then sec θ – tan θ will be ______.

Options

• x

• x²

• `2/x`

• `1/x`

Answer 1

If sec θ + tan θ = x, then sec θ – tan θ will be `underlinebb(1/x)`.

Explanation:

(sec θ + tan θ) (sec θ − tan θ) = sec²θ − tan²θ

we know that sec²θ − tan²θ = 1

So, (sec θ + tan θ) (sec θ − tan θ) = 1

Given, sec θ + tan θ = x

Let, sec θ − tan θ = y

Then x ⋅ y = 1

y = `1/x`