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(ü) cos AExample 5 : In Δ OPQ, right-angled at P,OP 7 cm and OQ - PQ 1 cm (see Fig. 8.12).Determine the values of sin Q and cos Q10. In A POR, right-asin P, cos P and taSolution: In Δ OPQ, we have11. State whether the0) The value(i) sec A(ii) cos A is t(iv) cot A ist(+PO OP+ PQ (Why?)leLe.,l + 2PQ72(Why?)(v) sin θ1.c.,PQ-24 cm and OQ1 + PQ7 cm25 cmc3 TrigonometFrom geometry, y24Fig.8.12 |
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Answer» Given:-OPQ is rt angled at P .OP=7cmOQ-PQ=1cmso, OQ = 1 + PQBY PYTHAGORUS THEOREM,OQ^2=OP^2+PQ^2(1+PQ)^2= 7^2 + PQ^21 + PQ^2+2PQ= 49 + PQ^22PQ= 48PQ=24cmOQ= 25cm |
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