Teaching UP TGT Mock Test Series 2025 Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities
If sin x + sin y = a and cos x + cos y = b, then tan \(\rm \frac{{x\, + \,y}}{2}\) is
1
\(\rm \frac{4}{{{a^2}\, + \,{b^2}}}\)
2
\(\rm \frac{b}{a}\)
3
\(\rm \frac{a}{b}\)
4
\(\rm \frac{4}{{{a^2}\, - \,{b^2}}}\)