PQRS is a rectangle in which PQ=12 units,QR=16 units.If P is joined to R,find sin angle RPQ,cos angle RPQ and tan angle RPQ.



PQRS is a rectangle.Therefore all four angle will be right angle.PQR=90°Using pythagoras theorem in right angled triangle PQR,PR=PQ2+QR2=122+162=20 unitsIn right angled triangle PQR,sinRPQ=QRPRsinRPQ=1620=45AndcosRPQ=PQPRsinRPQ=1220=35AndtanRPQ=QRPQtanRPQ=1612=43

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using P.G.T u can find the hypotenuse that will be equal to 20 units
as u get the 3 sides of the triangle PQR

sin RPQ = PERPENDICULAR DIVIDED BY HYPOTENUSE
=16 by 20 =4 by 5

cos RPQ = base by hypotenuse
= 12 by 20 =3 by 5

tan RPQ = perpendicular by base
= 16 by 12 = 4 by 3
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