Find the values of the trigonometric functions of t from the given information. csc(t) = 7, cos(t) < 0

Question

sin(t)

cos(t)

tan(t)

sec(t)

cot(t)

Answer 1

Remember that the cosecant function is the reciprocal of the sine function. The sine function is the ratio of the side opposite the angle to the hypotenuse of the right triangle, so the cosecant is the reciprocal of that. Since you know two side lengths of the right triangle, you can find the third side using the Pythagorean Theorem. Next, you need to think about which quadrants have a negative cosine value. All of this can help you find the values of the other five trig ratios.