in triangle PQR right anhled at Q, PR+QR = 25cm and PQ = 5cm. Determine the values of sinP, cosP and

Pythagorus's theorem gives,

PR² = PQ² + QR²

PR² - QR² = PQ² = 5² = 25

(PR + QR)(PR - QR) = 25

(PR - QR) = 25/25 = 1

PR - QR = 1

and PR + QR = 25,

Solving the two equations,

PR = 13 and QR = 12.

Hence sin P = 12/13

cos P = 5/13

and tan P = 12/5

Regards,

Team,

TopperLearning.