If tan F = 15/8, then what is the value of sinF + cosF ?

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

= \(\frac{P}{H}\) + \(\frac{B}{H}\)

= \(\frac{15}{17}\) + \(\frac{8}{17}\)

= \(\frac{23}{17}\)