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.
evaluate each expression. write your answer in exact form. csc 150 degrees
5 answers
no words just a series of what you did to get your answer
csc 150 degrees = 1/sin 30 degrees
sin 30 degrees = 1/2
csc 150 degrees = 1/(1/2)
csc 150 degrees = 2
sin 30 degrees = 1/2
csc 150 degrees = 1/(1/2)
csc 150 degrees = 2
thank you!!
You're welcome! Feel free to ask if you have any more questions.