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SSC CHSL 2023 PYQ — Question 73

SSC CHSL - 09 March 2023 - Shift 1 • Quantitative Aptitude • Q73

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If secθ\theta  + tanθ\theta  = 5, then what is hte value of sec θ\theta  - tan θ\theta ?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 1/5.

sec2θ - tan2θ = 1

⇒ (sec θ + tan θ)(sec θ - tan θ) = 1

⇒ 5(sec θ - tan θ) = 1

⇒ sec θ - tan θ = 1/5