Question

sec theta +tan theta =5 then sec theta -tan theta is how much​

Answer 1

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Given that,

• Sec θ + tan θ = 5

To find,

• sec θ - tan θ = ?

We know the trigonometric identity,

sec² θ - tan² θ = 1. Then, we can write it as,

➡ (sec θ + tan θ)(sec θ - tan θ) = 1

• Substitute the value of (sec θ + tan θ)

➡ 5(sec θ - tan θ) = 1

➡ sec θ - tan θ = 1/5

$\boxed{∴ sec \: θ - tan \: θ = \: \frac{1}{5} }$

Step-by-step explanation:

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