Using the words "hyp", "opp", and "adj" to indicate the hypotenuse and the opposite & adjacent sides to an angle in a right triangle, come up with the ratios representing each of the six major trig functions sin , cos , tan , csc , sec , and cot . Now answer the following.

(a) Sketch and label the sides (and indicate where is) of a right triangle that represents the equation sin = x/5 .

(b) Express cos (sin^1 x/3), tan(sin^1 x/3) , csc(sin^1 x/3), sec(sin^1 x/3), and cot(sin^1 x/3) in terms of non-trig functions.

(c) Sketch and label the sides (and indicate where is) of a right triangle that represents the equation cot = y^2 .

(d) Express sin(cot^1 (y^2 ) ), cos(cot^1 (y^2 )), tan(cot^1 (y^2 )), csc(cot^-1 (y^2 )), and sec(cot^1 (y^2 )) in terms of non-trig functions.