Question

If theta is an acute angle and tan theta =8/15 , find the value of sec theta and cosec theta

Answer 1

Answer:

tan theta = opposite side of theta / adjacent side of theta

= 8/15

$by \: pythagoras \: theorem \\ \\ hyp { }^{2} = opp {}^{2} + adj {}^{2} \\ \\ hyp {}^{2} \: = 8 {}^{2} + 15 {}^{2} \\ \\ hyp = squrt \: of \: 225 + 64 \\ \\ hyp \: = 17$

sec theta = hyp/adj = 17/ 15

cosec theta = hyp/ opp = 17 / 8

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Answer 2

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