If tan F = $\frac{15}{8}$, then what is the value of sinF + cosF ?

$\frac{21}{17}$ $\frac{22}{17}$ $\frac{23}{17}$ $\frac{20}{17}$

$\frac{23}{17}$

We are given that :- tan F = \(\frac{15}{8}\) { we know, tanθ = \(\frac{P}{B}\) } By using pythagoras theorem, P² + B² = H² 15² + 8² = H² H = 17 Now, sinF + cosF = \(\frac{P}{H}\) + \(\frac{B}{H}\) = \(\frac{15}{17}\) + \(\frac{8}{17}\) = \(\frac{23}{17}\)