0
sin(60) or sin(PI/3) = sqrt(3)/2
cos(60) or cos(PI/3)=1/2
tan(60) or tan(PI/3) = sin(60)/cos(60)=sqrt(3)
But we want tan for -sqrt(3). Tangent is negative in quadrant II and IV.
In Quadrant IV, we compute 360-60=300 or 2PI-PI/3 =5PI/3
tan(5PI/3) = -sqrt(3)
Tangent is also negative in the second quadrant, so we compute PI-PI/3=2PI/3 or 120 degrees.
tan(t)=-sqrt(3)
t=5PI/3 or 2PI/3
The period of tan is PI
The general solution is
t = 5PI/3+ n PI, where n is any integer
t = 2PI/3+ n PI, where n is any integer
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y = 2x is defined everywhere (for all values of x)
For all values of a and b that make Fx equals a bx a valid exponential function the graph always has a horizontal asymptote at y equals 0?
True
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x2+2x+1=y or y=x2 In this function the domain is x equals real values and the range is y equals all real values provided y is more than or equal to zero.
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It is, in fact, an identity - which is an equation which is true for all values of the variable.
Why is x equals equals 4 a vertical line?
That would be because all the graphed values of x are 4. So you can plug anything in for Y and it will still be on that vertical line.
Is y equals 2x undefined?
y = 2x is defined everywhere (for all values of x)
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that would be limited to 3 and -3 for values of x
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It means that the observed values in the experiment all exactly match the expected values. That is unlikely, unless the experiment was "fixed".
For all values of a and b that make Fx equals a bx a valid exponential function the graph always has a horizontal asymptote at y equals 0?
True
Example of quadratic function?
x2+2x+1=y or y=x2 In this function the domain is x equals real values and the range is y equals all real values provided y is more than or equal to zero.
Is a plus 2a equals 3a equation or expression?
It is, in fact, an identity - which is an equation which is true for all values of the variable.
Why is x equals equals 4 a vertical line?
That would be because all the graphed values of x are 4. So you can plug anything in for Y and it will still be on that vertical line.
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7/4 equals 1 3/4 (or 1.75) - these are all equivalent values.
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X=60 how did you get that? could you show all the steps?
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All of the above. I forget the exact amount, but a couple of bytes equals a kilobyte, a couple of kilobytes equals a megabyte, a couple of megabytes equals a gigabyte, and a couple of gigabytes equals a terabytes. You can even go further by saying a couple of terabytes equals an exobyte.
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A specific value for the mode cannot be given with the information provided. The arithmetic mean = Sum of all the values ÷ The number of values. The median is the value which lies halfway along the series when arranged in ascending or descending order. The mode of a set of values is the value which occurs most frequently.
What is the slope of 3x equals 2?
The slope is infinite because x = 2/3, a vertical line, for all values of y.
