For which angles in degrees if any, is sin A not equal to 1/csc A? Answer for 0 through 359 degrees.
sin(A) = 1/csc(A)
its the same thing so its always equal
where sinA = 0, cscA is not defined.
To find the angles in degrees for which sin A is not equal to 1/csc A, we need to first understand the relationship between these trigonometric functions.
The reciprocal identity for sine is: csc A = 1/sin A
Now, let's rewrite the equation: sin A ≠ 1/csc A
Substituting the reciprocal identity, the equation becomes: sin A ≠ 1/(1/sin A)
Simplifying this equation, we get: sin A ≠ sin A
This equation implies that sin A is not equal to itself. However, sin A is always equal to itself for any angle A. Therefore, there are no angles in degrees for which sin A is not equal to 1/csc A.
Hence, for all values of A in the range from 0 to 359 degrees, sin A is equal to 1/csc A.