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Harlamova29_29 [7]
3 years ago
8

Simplify cos2x tan2(-x)-1 / cos2x

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0
-x sec(2) sin (2)cos(2x)-sec(2x)
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Please help!! I don't understand this!
e-lub [12.9K]

Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".

Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.

When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"

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Pi/2 falls at 90 degrees on the unit circle, or 0,1. And since sin is the y value, sin (pi/2) = 1
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\sqrt{49}=7

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