Math, asked by remonaeve, 5 hours ago

if SIN ∅= x/y then COS '∅' is

Answers

Answered by shivankg2004
1

Answer:

cosФ =  \frac{1}{y} \sqrt{y^{2} -x^{2} }

Step-by-step explanation:

sinФ= x/y

sin^{2} Ф+ cos^{2} Ф= 1

cos^{2} Ф= 1 - sin^{2}Ф

cosФ =

           \sqrt{1-sin^{2}Ф}\\\\=\sqrt{1- x^{2}/y^{2} } \\\\=\sqrt{\frac{y^{2}- x^{2} }{y^{2} } } \\\\=\frac{1}{y} \sqrt{y^{2} -x^{2} }

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