Final answer:
To find the cosecant of an angle in radians, take the reciprocal of the sine of the angle. Simply calculate sin A, and then the cosecant is 1/sin A. Remember to check that the answer is reasonable and in the correct units of radians.
Step-by-step explanation:
The question asks about finding the cosecant of an angle when the angle is measured in radians. To find the cosecant of an angle in radians, you need to understand its definition. The cosecant (csc) of an angle is the reciprocal of the sine of that angle. If you know the sine of the angle, simply calculate the reciprocal of this value.
Here's a step-by-step approach:
Calculate the sine of the angle: sin A.
Take the reciprocal of the sine value: 1/sin A, which yields the cosecant of the angle.
In the context of a right triangle, if you know the lengths of the hypotenuse (h) and the opposite side (y), you could find sine using sin A = y/h and then take the reciprocal to get cosecant. Remember to use radian units when dealing with trigonometric functions in higher mathematics, as they are the standard in calculus.
To ensure the answer is correct, always check if it is reasonable, and the units are consistent, especially when working with radians.