9. Evaluate the expressions using right triangle (without using calculator) (a) sin (arctan ) (b). tan (arccos 2) (C) cot [arcsin (-)] 10. Find the derivative of the functions. (a) g(x) = arcsin 3x (b). y = 2x arccos x - 2V1 - x2 x (C) y = x arctan 2 x -1In(1 + 4x2) (d) y =)(Inclat) + arctan x) (e) y = 8 arcsin [X _xV16-x2 11. Find the relative extrema of the functions. (a) f(x) = arctan x - arctan(x - 4) (b). f(x) = arcsin x - 2x 13. Evaluate the integrals. (a) s - cscx cot x dx (b). S . Vx( VI-x)dx (C) S 3 V25-csc2 Lix 2Vx(1+x)" dx "+(x+2)z dx (e). Sjaxvaz adx (1) So x2-2x+2 dx (g). Sover -3dt (h). S. 2x-5 dx x 2 + 2x + 2 14. Find the particular solution of the differential equation dy = 1 with the initial condition y (0) = n. 15. (A) Find the derivative of the functions. (a) f(x) = In(sinh x) () f(t) = arctan(sinht) (C). f(x) = tanh(4x2 + 3x) (d) y = tanh-1(Vx)(e) y = tanh-1(sin 2 x) (f) y = 2x sinh-1(2x) - V1 + 4x2 (B) Evaluate the integrals. (a) f sinh(1 - 2x) dx (b) fizze * coshxax (C) S sinh x 1+sinh2 x dx\f