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in triangle pqr right angle at q pr+ qr = 25 cm and pq = 25 cm determine the values of sinp, cosp, and tanp

Posted by Shalini Negi 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

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

0Thank You

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