Use a cofunction to write an expression equal to
csc4π11
.
sin(1/4π11) whatever that means
or
sec(π/2-4π11)
co- means complementary angle.
oops - forget the sin example. Booooguss! I was thinking arcsin.
1/sin(4π11)
To write an expression equal to csc(4π/11), we can use the cofunction identity for sine and cosecant. The cofunction identity states that csc(x) is equal to the reciprocal of sin(x).
since csc(x) = 1/sin(x), we can rewrite csc(4π/11) as:
1/sin(4π/11)
To write an expression equal to csc(4π/11), we can use the cofunction identity for the cosecant function:
csc(x) = 1/sin(x)
Using this identity, we can rewrite the expression as:
csc(4π/11) = 1/sin(4π/11)
Now, to evaluate sin(4π/11), we can use the trigonometric unit circle. The angle 4π/11 radians corresponds to a fraction of the circumference of a circle divided into 11 equal parts.
To determine the value of sin(4π/11), we need to find the y-coordinate of the point on the unit circle that corresponds to the angle 4π/11. By construction, the y-coordinate represents the sine of the angle.
Since 4π/11 radians is not a common angle, we may need to use a calculator or a trigonometric table to find the approximate value of sin(4π/11).