Algebra -- Trig --
Writer's Note: The symbol "n" should really be referred to as "pi" or "?" To prevent confusion within the problem. Also, there is a difference between "squared" and "square root." The case in these problems is to use the square root, so "sqrt (number)." I've only managed the calculations because I have presumed the indicated changes.
Using the periodic properties of trigonometric functions, find the exact value of the expression
cos-
cos (8?/5) = cos (2? + (2?/5)) = cos (2?/5) = cos (72) = 0.31
cos (8?/5) = 0.31.
The point P. On the unit circle that corresponds to a real number t is:
{ 5-2 6 squared}
} Find csc (t)
P is on the unit circle, therefore the coordinates are (cos (t), sin (t)). This leads to the following calculations:
sin (t) = -2sqrt (6)/7, and csc (t) = 1/sin (t) = 1/(-2sqrt (6)/7) = 7/(-2sqrt (6)) = -7/2sqrt (6)
Answer:...
The point P. On the unit circle that corresponds to a real number t is:
{ 7 squared 3 }
{ - -, -- } Find the cot (t)
{ 4-4 }
P is on the unit circle, therefore coordinates are (cos (t), sin (t)). This leads to the following calculations:
cot (t) = cos (t)/sin (t) = x/y cos (t) = -sqrt (7)/4, sin (t) = -3/4
cot (t) = [-sqrt (7)/4] / (-3/4) = sqrt (7)/3
Answer: cot (t) = sqrt (7)/3.
5. What is the domain of the sine function?
Answer: The sine function is a continuous function along the x-axis, therefore the domain is all real numbers.
6. Find the reference angle for the…
