That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
<h3>What is tanθ?</h3>
Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
- tanθ = y/x,
- sinθ = x and
- cosθ = y
Substituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
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Tan 135 = -1
so rectangular coordinates are (-7 sqrt2, 7 sqrt2)
This histogram is skewed to the left and its distribution's center would be three (3).
<h3>What is a histogram?</h3>
A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.
In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:
- This histogram is skewed to the left.
- Its distribution's center would be three (3).
- The spread implies that more students are between 58-59 and 60-61 inches.
- The shape shows that many of the values are at the lower end.
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I'm guessing the series is supposed to be
By the ratio test, the series converges if the following limit is less than 1.
The first
terms in the numerator's denominator cancel with the denominator's denominator:
also cancels out and the remaining factor of
can be pulled out of the limit (as it doesn't depend on
).
which means the series converges everywhere (independently of
), and so the radius of convergence is infinite.
The distance formula is given by:
We are given two points A and B as
A(1,1) and
B(7,-7)
so we have ,
x1 = 1 , y1=1
x2= 7 and y2=-7
Plugging these in the formula we have:
d=√(36+64)
d=√100
d=10
Answer: The distance between A(1,1) and B(7,-7) is 10
