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3 years ago

14

The point (12, 5) is on the terminal side of angle θ. cos θ = cot θ =

1 answer:

natita [175]3 years ago

3 0

Step-by-step explanation:

The point (12, 5)

x = 12, y = 5

=> r =√12²+5² =√144+25= √169=13

so, cos θ = x/r = 12/13 and

cot θ = x/y = 12/5

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↓

<h3>Verification</h3>

Let x=12.

$\bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3}{4}\times12+14 }$
$\bf{30-7=\dfrac{3\times12}{4}+14 }$
$\bf{30-7=\dfrac{36}{4}+14 }$
$\bf{30-7=9+14 }$
$\bf{23=9+14 }$
$\bf{23=23}$

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