Question

GGiven 15cot A = 8 , find sinA and sec A

with the references of diagram dena ans
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Answer 1

Answer:

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Answer 2

Answer:

$15cotA=8 \\ \\ </p><p></p><p>cotA=158 \\ </p><p></p><p>=> tanA=815-------(tanA=cotA1) \\ </p><p></p><p>We \: know \: that, \\ </p><p></p><p>tanθ=adjacent \: Side \: opposite \: Side \\ </p><p></p><p></p><p>Consider \: the \: attached \: figure, triangle \: ABC \\ \\ </p><p></p><p>From \: Pythagoras \: theorem, \: </p><p>AC2=AB2+BC2 \\ \\ </p><p></p><p>AC2 \: = \: 82 \: + \: 152 \: = \: 64 \: + \: 225 \: = \: 289 \\ \\ </p><p></p><p>AC=17 \\ \\ </p><p></p><p></p><p>cosA \: = \: Hypotenus \: eadjacent \: Side=ACAB=178 \\ \\ </p><p></p><p></p><p>secA=cosA1=1781817 \\ \\ </p><p></p><p></p><p>sinA= \frac{opposide}{hypotenses} = \frac{bc}{ac} = \frac{15}{17} </p><p></p><p>$