In the diagram, which pair of angles are vertical angles?
1 answer:
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<h3>Answer : y = ⅚x - 3</h3>════════════════════
<h3>Known</h3>x1 = 6
y1 = 2
x2 = (-6)
y2 = (-8)
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<h3>Question</h3>Equation of the line (y = mx + c)
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<h3>Way to do</h3>#First, you find the gradient (m)
#Now use the formula of equation of the line
y - y1 = m(x - x1)
y - 2 = ⅚(x - 6)
y - 2 = ⅚x - 5
y = ⅚x - 5+2
y = ⅚x - 3
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The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
<h3>Trigonometric ratios</h3>
It is important to note that
sin A = opposite/ hypotenuse
cos A = adjacent/ hypotenuse
Then,
opposite =
Hypotenuse =
Let's find the adjacent side using the Pythagorean theroem
cos A = x/hypotenuse
cos A = √(1 + x²)/ (1 - x²) /√1 + x
Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x
Learn more about trigonometric identities here:
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