SSC CGL 2023 PYQ — Question 73

SSC CGL - 21 July 2023 - Shift 1 • Quantitative Aptitude • Q73

If secA + tanA = 3, then cosA is equal to:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e.  35\frac{3}{5}

Given that

If secA + tanA = 3 ........(1

As we know that

secA - tanA = 1/(secA + tanA)

Calculation

secA - tanA = 1/3 ........(2

Adding Equation 1 and Equation 2

2 secA = 3 + 1/3 = 10/3

sec A = 5/3

Hence, cos A = 1/sec A = 1/(5/3) = 3/5