Use a cofunction to write an expression equal to csc(4ð/11).

I need help solving this problem. Thank You

What is ð ?

Did you notice that trig co-functions come in pairs:

sine ---cosine
secant --- cosecant
tangent --- cotangent

so csc(4π/11) = ......

To write an expression equal to csc(4π/11) using cofunctions, we can use the reciprocal relationship between sine (sin) and cosecant (csc). The reciprocal of sine is cosecant, so we can express csc(θ) as 1/sin(θ).

Therefore, we can write the expression as:

csc(4π/11) = 1/sin(4π/11)

To find the value of sin(4π/11), we can use a calculator or convert the angle to degrees and use a unit circle. Here, we'll use a calculator:

sin(4π/11) ≈ 0.43388 (rounded to five decimal places)

Now, substituting this back into the expression, we get:

csc(4π/11) ≈ 1/0.43388

To evaluate the expression further, we calculate the reciprocal of 0.43388:

csc(4π/11) ≈ 2.3043 (rounded to four decimal places)

Therefore, an expression equal to csc(4π/11) is approximately 2.3043.