In the given figure, if PQ = 13 cm and PR = 12 cm, then the value of sin θ + tan θ = ?
Answer & explanation
Correct answer: option 4
Given :-
PQ (H) = 13 , PR (P) = 12 & QR = ?
By using pythagoras theorem,
P² + B² = H²
12² + B² = 13²
144 + B² = 169
B² = 25
B = 5
Now,
sin θ + tan θ
= \(\frac{P}{H}\) + \(\frac{P }{B}\)
= \(\frac{12}{13}\) + \(\frac{12 }{5}\)
= \(\frac{60 + 156}{65}\)
= \(\frac{216}{65}\)