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Semmy [17]
3 years ago
13

Find the cosine of R.

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

cos(R) = \frac{\sqrt{15}}{5}

Step-by-step explanation:

To find the cosine of <R, apply the following trigonometric ratio formula:

cos(R) = \frac{adjacent}{hypotenuse}

Adjacent = 3

Hypotenuse = √15

Plug in the values into the formula

cos(R) = \frac{3}{\sqrt{15}}

Multiply the numerator and denominator by √15 to rationalize.

cos(R) = \frac{3 \times \sqrt{15}}{\sqrt{15} \times \sqrt{15}}

cos(R) = \frac{3\sqrt{15}}{(\sqrt{15})^2}

cos(R) = \frac{3\sqrt{15}}{15}

cos(R) = \frac{\sqrt{15}}{5}

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