Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank. A. tan(arcsin(x/8)) B. cos(arcsin(x/8)) C. (1/2)sin(2arcsin(x/8)) D. sin(arctan(x/8)) E. cos(arctan(x/8)) 1. displaystyle frac{x}{sqrt{64 + x^2}} 2. displaystyle frac{sqrt{64 - x^2}}{8} 3. displaystyle frac{x}{64}sqrt{64 - x^2} 4. displaystyle frac{x}{sqrt{64 - x^2}} 5. displaystyle frac{8}{sqrt{64 + x^2}} Solution a) sin = x/8 cos = (1/8) root(64- x2) tan = x/root(64 - x2) b) sin = x/8 cos = (1/8)*root(64 - x2) c) sin cos = (1/64) x root(64 - x2 ) d) sin (arc tan(x/8)) tan = x/8 sin = x/root(x2 + 64) e) cos = 8/root(x2 + 64) answer !!!! write corresponding answers your self , i have solved each.

1. Match each of the trigonometric expressions below with the equivalent non-trigonometric
function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank. A.
tan(arcsin(x/8)) B. cos(arcsin(x/8)) C. (1/2)sin(2arcsin(x/8)) D. sin(arctan(x/8)) E.
cos(arctan(x/8)) 1. displaystyle frac{x}{sqrt{64 + x^2}} 2. displaystyle frac{sqrt{64 -
x^2}}{8} 3. displaystyle frac{x}{64}sqrt{64 - x^2} 4. displaystyle frac{x}{sqrt{64 - x^2}} 5.
displaystyle frac{8}{sqrt{64 + x^2}}
Solution
a) sin = x/8
cos = (1/8) root(64- x2)
tan = x/root(64 - x2)
b)
sin = x/8
cos = (1/8)*root(64 - x2)
c) sin cos = (1/64) x root(64 - x2 )
d) sin (arc tan(x/8))
tan = x/8
sin = x/root(x2 + 64)
e) cos = 8/root(x2 + 64) answer !!!!
write corresponding answers your self , i have solved each