triangle RPQ is a right angled at Q PQ=5cm and RQ=10cm find sin P ×cosP
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Given : Triangle RPQ is right Angled at Q . PQ = 5 cm , RQ = 10 cm
To Find : SinP.CosP
Solution:
Triangle RPQ is right Angled at Q
PQ = 5 cm
RQ = 10 cm
PR² = PQ² + RQ²
=> PR² = 5² + 10²
=> PR² = 125
=> PR = 5√5 cm
Sin P = PQ / PR
Cos P = QR / PR
=> SinP.CosP = (PQ . QR ) / PR²
=> SinP.CosP = (5 . 10 ) / 125
=> SinP.CosP = 2/5
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