In A PQR, right-angled at Q, PR+QR = 25 cm and PQ = 5 cmn. Determine the values of
sin P, cos P and tan P.
Class 10 Maths exercise 8.1 question no 10
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Step-by-step explanation:
PR + QR = 25 --------------(1)
By Pythagoras theorem
PR² = QR² + PQ²
PR²-QR²=5²
(PR+QR)(PR-QR) = 25
25(PR-QR) = 25 ( from (1))
PR-QR=1 ---------------------(2)
(1) + (2)
2PR = 26
PR =13
Substitute PR = 13 in (1)
13-QR = 1
QR = 12
PQ= 5
sin P = QR/PR = 12/13
cos P = PQ/PR = 5/13
tan P = QR/PQ = 12/5
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