Question

In triangle OPQ, right angled at P, OP=7 cm and OQ - PQ = 1cm . determine the values of sinQ and cosQ. ​

Answer 1

In $\triangle$ OPQ, we have

OQ²= OP²+PQ²

(1+PQ)²=OP²+PQ²

1+PQ²+2PQ = OP²+PQ²

1+2PQ =7²

PQ = 24 cm

OQ= 1+25 cm

$sin Q = \frac {7}{25} \\ \\ cos Q =\frac {24}{25}$

Answer 2

In triangle OPQ, right angled at P, OP=7 cm and OQ - PQ = 1cm . determine the values of sinQ and cosQ.