If tan A = 5over 7 , then find the value of…

If tan A = $5\over 7$ , then find the value of ${7sinA-3cosA\over 7sinA+3cosA}+4$ .

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. $4{1\over4}$ .

tan A = $\frac{sinA}{cosA}$ = ${5\over 7}$

${7sinA-3cosA\over 7sinA+3cosA}+4$

= ${7\times5-3\times7\over 7\times5+3\times7}+4$

= $\frac{14}{56}+4$

= $4{1\over4}$

SSC CGL 2024 PYQ — Question 65