Question

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Answer 1

Step-by-step explanation:

$1.) \cos( 40 - x) = \sin(30) \\ \cos(40 - x) = \cos(90 - 30) \\ 40 - x = 90 - 30 \\ 40 - x = 60 \\ x = - 2 0 \\ 2.) \cos( \theta) = \frac{ \sqrt{3} }{2} = \frac{ab}{ac} \\ {ab}^{2} + {bc}^{2} = {ac}^{2} \\ {bc}^{2} = 4 - 3 \\ bc = \sqrt{1} \\ = 1 \\ now \: \: \: . \sin( \theta) = \frac{bc}{ac} = \frac{1}{ 2} \\ \tan( \theta) = \frac{ab}{bc} = \frac{ \sqrt{3} }{1}$

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Answer 2

Step-by-step explanation:

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