In trangle OPQ, right angled at P,OP=7cm and OQ-PQ=1cm ,then the values of sin Q=
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Answer:
7/25
Step-by-step explanation:
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AMSWER cosQ=OQPQ=2524
Step-by-step explanation:
In Δ OPQ, we have
OQ2=OP2+PQ2
⇒(PQ+1)2=OP2+PQ2[∵OQ−PQ=1⇒OQ=1+PQ]
⇒PQ2+2PQ+1=OP2+PQ2
⇒2PQ+1=49
⇒PQ=24cm
∴OQ−PQ=1cm
⇒OQ=(PQ+1)cm=25cm
Now, sinQ=OQOP=257
and, cosQ=OQPQ=2524
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