Answer:
- csc60°
Step-by-step explanation:
240° is in the third quadrant where csc < 0 , thus
csc240° = - csc(240 - 180)° = - csc60°
The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.
So, cosec 240° = cosec (180°+60°)
cosec (180°+α) = -cosec α
So, cosec (180°+60°) = -cosec 60°
Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
To get more about trigonometric ratios visit:
https://brainly.com/question/24349828
