In triangle PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the value of cosec P
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Step-by-step explanation:
⇒PQ=5cm
⇒PR+QR=25cm
⇒PR=25−QR
Now, In △PQR
⇒(PR)2=PQ2+QR2
⇒(25−QR)2=52+QR2
⇒625+QR2−50QR=25+QR2
⇒50QR=600
⇒QR=12cm
⇒PR=25−12=13cm
∴sinP=PRQR=1312,cosP=PRPQ=135,tanP=PQQR=512
Hence, the answers are sinP=1312,cosP=135,tanP=512.
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