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katrin [286]
3 years ago
7

Evaluate, using the tables if necessary. sec 180 + sin 270 - tan 180 + cot 270

Mathematics
1 answer:
saul85 [17]3 years ago
6 0

Answer:

-2

Step-by-step explanation:

sec 180 + sin 270 - tan 180 + cot 270

= -1 + (-1) - 0 + 0

= -1 + (-1)

= -2

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what is an equation of the line that is perpendicular to line y= -1/2x -2 and passes through the point (0,-4)?
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Answer:

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Step-by-step explanation:

y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)

To find the perpendicular equation of a line,

You need the product of their gradients to be -1

-\frac{1}{2} \times ? = -1

Divide both sides by -\frac{1}{2}

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The gradient of the perpendicular line is 2

Straight line formula is in the form y = mx + c

y = 2x + c

We're nearly there, we just need to find out c.

Luckily, we're given a point (0, -4)

(x, y) = (0, -4)

y = 2x + c

-4 = 2(0) + c\\-4 = 0 + c\\c = -4

We then end up with...

y = 2x -4

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