In triangle OPQ, right angled at P, OP-7cm and OQ-PQ = lem determine the value of Sin 8 and Cos 0.
1 thought on “In triangle OPQ, right angled at P, OP-7cm and OQ-PQ = lem determine the value of Sin 8 and Cos 0.”
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Step-by-step explanation:
Answer
In Δ OPQ, we have
OQ
2
=OP
2
+PQ
2
⇒(PQ+1)
2
=OP
2
+PQ
2
[∵OQ−PQ=1⇒OQ=1+PQ]
⇒PQ
2
+2PQ+1=OP
2
+PQ
2
⇒2PQ+1=49
⇒PQ=24cm
∴OQ−PQ=1cm
⇒OQ=(PQ+1)cm=25cm
Now, sinQ=
OQ
OP
=
25
7
and, cosQ=
OQ
PQ
=
25
24