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Answer:
ABC is right angle triangle at A
AC=?,AB=8,BC=17
BC^2=AC^2+AB^2
17^2=AC^2+8^2
289=AC^2+64
AC=15
cos (theta)=adj/hyp
cosB=8/17
TanC=opp/adj=8/15
Sin^2B+cos^2B=(15/17)^2 +(8/17)^2=225+64/289=1
sinB.cosC +cosB.sinC=(15/17)(15/17) +(8/17)(8/17)=225/289 +64/289=1
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answer referred to the attachment
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