Question

If sin A =15/17 then find cos A

Answer 1

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✖️If sin a =15/17 then find cos A

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Given,

$sin \: a = \frac{15}{17}$

${cos}^{2} a = 1 - {sin}^{2} a$

$= 1 - ( { \frac{15}{17} })^{2}$

$= 1 - \frac{225}{289}$

$= \frac{289 - 225}{289}$

$= {cos}^{2} a = \frac{64}{289}$

$cos \: a \: = \sqrt{ \frac{64}{289} }$

$cos \: a \: = \frac{8}{17}$

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Answer 2

Answer:

cos^2 A=1-sin^2A

cos^2 A=1-(15/17)^2

cos^2 A=1-225/289

cos^2 A=289-225/289

cos^2 A=64/289

cos A=√64/289

cos A=8/17