evaluate each expression. write your answer in exact form. csc 150 degrees

Answer 1

There are a few ways to approach this problem, but one possible method is to use the definition of the cosecant function:

cscθ = 1/sinθ

where θ is an angle in radians or degrees. In this case, we want to find csc 150 degrees, so we can substitute 150 degrees for θ and use the sine of its reference angle, which is 30 degrees:

csc 150 degrees = 1/sin 30 degrees

We can evaluate sin 30 degrees exactly using the special right triangle with angles 30-60-90:

sin 30 degrees = opposite/hypotenuse = 1/2

Therefore, we have:

csc 150 degrees = 1/sin 30 degrees = 1/(1/2) = 2

The exact value of csc 150 degrees is 2.

Answer 2

no words just a series of what you did to get your answer

Answer 3

csc 150 degrees = 1/sin 30 degrees
sin 30 degrees = 1/2
csc 150 degrees = 1/(1/2)
csc 150 degrees = 2

Answer 4

thank you!!

Answer 5

You're welcome! Feel free to ask if you have any more questions.