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3 years ago

Express sin A, cos A, and tan A as ratios

Mathematics

1 answer:

vlabodo [156]3 years ago

5 0

<h3>Answer: Choice B</h3><h3>sqrt(3)/2, 1/2, sqrt(3)</h3>

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Explanation:

Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12

Sin(angle) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 6sqrt(3)/12

sin(A) = sqrt(3)/2

---------------

Cosine is the ratio of the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 6/12

cos(A) = 1/2

---------------

Tangent is the ratio of the opposite and adjacent

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 6sqrt(3)/6

tan(A) = sqrt(3)

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Let's solve your equation step-by-step.

$\frac{1}{4} x^2+5=0$

For this equation: $a=0.25, b=0, c=5$

$0.25x^2 + 0x + 5 = 0$

Step 1: Use quadratic formula with $a=0.25, b=0, c=5.$

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$x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}$

$x = \frac{0 ± \sqrt{-5} }{0.5}$

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$\large\underline{\sf{Solution-}}$

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$\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}}$

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Express sin A, cos A, and tan A as ratios ​

Express sin A, cos A, and tan A as ratios