Question

In triangle pqr right angled q. Pr = 13cm and pq - qr = 7cm. Determine the value of cosec r + cot r

Answer 1

Answer:

3/2

Step-by-step explanation:

In triangle pqr right angled q. Pr = 13cm and pq - qr = 7cm. Determine the value of cosec r + cot r

in Δpqr right angled at q

pr² = pq² + qr²

=> 13² = pq² + qr²

=> 13² = (pq - qr)² + 2pq * qr

=> 169 = 7² + 2pq * qr

=> 120 = 2pq * qr

=> pq * qr = 60

13² = (pq + qr)² - 2pq * qr

=> 169 = (pq + qr)²  - 120

=>  (pq + qr)² = 289

=> pq + qr = 17

  pq - qr = 7

=> pq = 12  &  qr = 5

Cosec r = pr/pq = 13/12

Cotr = qr/pq = 5/12

=> Cosec r + cotr = 13/12 + 5/12 = 18/12  =  3/2

Answer 2

Answer:

The answer will be 5/