1. ΔXYZ is right angled at Y. If cotX = 5/12, then what is the value of secZ ?
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By: anil on 05 May 2019 02.03 am
Given : $$cot X$$ = $$frac{5}{12}$$ Also, $$cot X=frac{XY}{YZ}=frac{5}{12}$$ Let XY = 5 cm and YZ = 12 cm Thus, in $$ riangle$$ XYZ, => $$(XZ)^2=(XY)^2+(YZ)^2$$ => $$(XZ)^2=(5)^2+(12)^2$$ => $$(XZ)^2=25+144=169$$ => $$XZ=sqrt{169}=13$$ cm To find : $$sec Z=frac{XZ}{YZ}$$ = $$frac{13}{12}$$ => Ans - (C)
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