Final answer:
To evaluate arccsc2, we need to find the angle whose cosecant is 2. The angle whose sine is 1/2 is π/6 or 5π/6. Therefore, arccsc2 equals π/6 or 5π/6.
Step-by-step explanation:
To evaluate arccsc2, we need to find the angle whose cosecant is 2.
The cosecant function is the reciprocal of the sine function, so we can rewrite the equation as sin(x) = 1/2.
The angle whose sine is 1/2 is π/6 or 5π/6.
Therefore, arccsc2 equals π/6 or 5π/6. The correct answer is option c) π/6, 5π/6.