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.​”

1. 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

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