Question

6. In OPQ, night angled at P, OP= 7cm
and
OP - P Q = 1 cm determine the value of sin Q and cos Q​

Answer 1

given - OQ - PQ = 1cm

OQ =1 +PQ

Using Pythagoras theorem

( Hypotenuse ) square = ( Height )square + ( Base) square

OQ square = PQ square + OP square

( 1+ PQ) square = PQ square + ( 7 ) square

1 + PQ square + 2PQ = PQ square + 49

1 + PQ square +2PQ - PQ square -49 =0

2PQ - 48 = 0

2PQ =48

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