Answer: I believe this is right
Sine: sqrt(3)/2
Cosine: -sqrt(3)/2
Tangent: -sqrt(3)
Cotangent: -1/sqrt(3)
Cosecant: -2/sqrt(3)
Secant: -2/sqrt(3)
Explanation:
If 0 is in standard position and its terminal side lies in the second quadrant, then the sine of 0 is positive, the cosine of 0 is negative, and the tangent of 0 is negative.
In this case, the cosine of 0 is given as -sqrt(3)/2. Therefore, the sine of 0 is equal to sqrt(3)/2 and the tangent of 0 is equal to -sqrt(3).
The cotangent of 0 is equal to the reciprocal of the tangent, so it is equal to -1/sqrt(3). The cosecant of 0 is the reciprocal of the sine, so it is equal to -2/sqrt(3). The secant of 0 is the reciprocal of the cosine, so it is equal to -2/sqrt(3).
Therefore, the exact values of the remaining five trigonometric functions for 0 are:
Sine: sqrt(3)/2
Cosine: -sqrt(3)/2
Tangent: -sqrt(3)
Cotangent: -1/sqrt(3)
Cosecant: -2/sqrt(3)
Secant: -2/sqrt(3)