Mathematics: Look at the figure below: D If sin yº =a/6 and tan yº =a/b what is the value of cos yº?

Look at the figure below: D If sin yº =a/6 and

rockinrachel9099

26.11.2020

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$\tan(y) = \frac{ \sin(y) }{ \cos(y) } \\$

Multiply sides by cos(y)

$\cos(y) \times \tan(y) = \cos(y) \times \frac{ \sin(y) }{ \cos(y) } \\$

$\cos(y) \times \tan(y) = \sin(y)$

Divide sides tan(y)

$\frac{ \cos(y) \times \tan(y) }{ \tan(y) } = \frac{ \sin(y) }{ \tan(y) } \\$

$\cos(y) = \frac{ \sin(y) }{ \tan(y) } \\$

$\cos(y) = \frac{ \frac{a}{6} }{ \frac{a}{b} } \\$

$\cos(y) = \frac{a}{6} \div \frac{a}{b} \\$

$\cos(y) = \frac{a}{6} \times \frac{b}{a} \\$

$\cos(y) = \frac{b}{6} \\$

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