Evaluate the following expressions. The answer must be given as a fraction, NO DECIMALS. If the answer involves a square root It should be entered as sqrt.

Question

If sin theta = 3/5 and theta is in quadrant II, then....

1. cos theta=
2. tan theta =
3. cot theta =
4. sec theta =
5. csc theta=

Answer 1

My first suggestion is to draw a picture (a right triangle) and write the numbers you were given in the correct places. Since sinθ = opposite/hypotenuse = 3/5, the side opposite the angle is 3 and the hypotenuse is 5. This makes a 3-4-5 right triangle. From this picture you can then find the other 5 trig values.