engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Trigonometry Trigonometric Functions
If sin θ + cos θ = x and cos θ - sin θ = y, then tan 2θ = ?
1
\(\rm \frac{1}{2}\left(\frac{x}{y}-\frac{y}{x}\right)\)
2
\(\rm \frac{1}{2}\left(\frac{y}{x}+\frac{x}{y}\right)\)
3
\(\rm \frac{1}{4}\left(\frac{y}{x}+\frac{x}{y}\right)\)
4
\(\rm \frac{1}{4}\left(\frac{x}{y}-\frac{y}{x}\right)\)