Final answer:
To evaluate each trigonometric expression, use the given value of cos(angle) and find the values of sin(angle) and tan(angle) using the Pythagorean identity and the tangent definition.
Step-by-step explanation:
To evaluate each trigonometric expression, we need to use the given value of cos(angle) and determine the values of sin(angle) and tan(angle). Since cos(angle) = -5/13 and the terminal arm of the angle lies in quadrant 2, we know that sin(angle) is positive and tan(angle) is negative.
To find sin(angle), we use the Pythagorean identity sin^2(angle) + cos^2(angle) = 1. Plugging in the value of cos(angle), we can solve for sin(angle) to get 12/13.
To find tan(angle), we use the tangent definition tan(angle) = sin(angle) / cos(angle). Plugging in the values of sin(angle) and cos(angle), we can solve for tan(angle) to get -12/5.