In triangle pqr right angled q. Pr = 13cm and pq - qr = 7cm. Determine the value of cosec r + cot r
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Answered by
18
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
Answered by
0
Answer:
The answer will be 5/
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