csc π/4 (45)
The expression csc π/4 (45) is asking you to find the cosecant of the angle 45 degrees, which is equivalent to π/4 radians
The expression csc π/4 (45) is asking you to find the cosecant of the angle 45 degrees, which is equivalent to π/4 radians.
The cosecant function, written as csc(x), is the reciprocal of the sine function. To find the value of csc π/4 (45), we first need to find the value of sin π/4 (45), and then take its reciprocal.
The value of sin π/4 (45) can be found by using the unit circle or a calculator. In this case, sin π/4 (45) corresponds to the y-coordinate of the point on the unit circle that is π/4 radians, or 45 degrees counterclockwise from the positive x-axis.
Since at π/4 radians (45 degrees), the point on the unit circle lies on the line y = x, the value of sin π/4 (45) is 1/√2 or approximately 0.707.
Now, to find the value of csc π/4 (45), we take the reciprocal of sin π/4 (45). The reciprocal of 0.707 is approximately 1.414.
Therefore, csc π/4 (45) is approximately 1.414.
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