Question

If sec theta + tan theta =1, then find the value of sec theta - tan theta​

Answer 1

★ Given that,

• sec θ + tan θ = 1

★ To find,

• Value of sec θ - tan θ.

★ Let,

We know that, one of the Trigonometric Identity :

➡ sec² θ - tan² θ = 1

Then, we can write it as,

➠ (sec θ + tan θ)(sec θ - tan θ) = 1

➠ 1(sec θ - tan θ) = 1

➠ (sec θ - tan θ) = 1/1

➠ (sec θ - tan θ) = 1

∴ Hence, value of sec θ - tan θ = 1

★ More Information,

Important Trigonometric Identities :

◼ sin² θ + cos² θ = 1

◼ sec² θ - tan² θ = 1

◼ cosec² θ - cot² θ = 1

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