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Mathematics

If sec θ - tan θ = k, then the value of sec θ + tan θ is
1 - $\dfrac{1}{\text{k}}$
1 - k
1 + k
$\dfrac{1}{\text{k}}$

Trigonometric Identities

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Answer

We know that,

⇒ sec² θ - tan² θ = 1

∴ (sec θ - tan θ)(sec θ + tan θ) = 1
⇒ k (sec θ + tan θ) = 1
⇒ (sec θ + tan θ) = $\dfrac{1}{k}$

Hence, Option 4 is the correct option.

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