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SSC CHSL 2023 PYQ — Question 60

SSC CHSL 2023 - 02 Aug 2023 - Shift 3 • Quantitative Aptitude • Q60

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If sec θ - tan θ = m, then 2 tan θ = ?

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Correct answer: B

Explanation

The correct answer is option 2 i.e.  1−m2m\frac{1-m^2}{m}

Given that

If sec θ - tan θ = m, ......(1

As we know,

sec θ + tan θ = 1/(sec θ - tan θ) 

sec θ + tan θ = 1/m  ....(2

Equation 2 - Equation 1

2 tan θ = 1/m - m = 1−m2m\frac{1-m^2}{m}