Answer:
a) -tan(π/4) = -1
b) -1/sin(π/3) = -(2/3)√3
Step-by-step explanation:
The given functions are reciprocals of the primary trig functions:
cot(x) = 1/tan(x)
csc(x) = 1/sin(x)
The tangent function has a period of π, and is equal to the cotangent of the complementary angle.
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<h3>a)</h3>
The given angle is an alias of -π/4, so we can write ...
cot(7π/4) = cot(-π/4) = -cot(π/4) = -tan(π/2 -π/4) = -tan(π/4)
-tan(π/4) = -1
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<h3>b)</h3>
csc(-π/3) = 1/sin(-π/3) = -1/sin(π/3) = -1/(√3/2) = -2/√3
-1/sin(π/3) = -2√3/3
Answer:
When we have a graph of a function y = f(x) = 10^x
A vertical dilation can be made by multiplying the function by a scale factor a.
Then the dilated graph is y = g(x) = a*10^x
This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).
You can look for easy points to see which is the correct graph.
For example, when x = 0, f(0) = 10^0 = 1
and the dilated graph: x = 0, g(0) = a*10^0 = a
So other characteristic of the new graph is that passes trhough the point (0, a)
Answer:
20 x 3=60
Step-by-step explanation:
if she ran 3 times as far as clair and ran 20 miles then you use multipication.
