Question

In the given figure, if PQ = 13 cm and PR = 12 cm then the value of sin θ + tan θ = ?

• A. 218/5
• B. 213/5
• C. 216/13
• D. 216/65

Answer 1

Answer:

D. 216/65

Solution:

Given:

PQ = 13 cm and PR = 12 cm

Concept used:

(Perpendicular)² + (Base)² = (Hypotaneous)²

sin θ = p/h and tan θ = p/b 

Calculation:

QR² = 13² - 12² = 25

⇒ QR = 5 cm

now,

sin θ + tan θ = (p/h) + (p/b)

⇒ (12/13) + (12/5) = (60 + 156)/65

⇒ 216/65 

∴ The value of sin θ + tan θ is 216/65.