1. Verify each identity. Show your work. a. tan? (x)-cot @ -tan (x)- cot (x) tan (x)+cot(x) b. tan(x) +tan(y) sin (x)cos(y) +cos(x)sin(y) 1-tan(r) tan(y) cos(x)cos(y) -sin(x)sin(y) 1-cos(x) c. (csc(x) - cot(x))" = 1+cos(I)2. Find the exact value of each expression. a. sin-1 (;) e. sin-1 (sinn ) C. sec-1 (213) g. tan-1 [tan(-1)] d. cot-1 ($3) h. cos ( cos-1 ( 37) ) 3. Use a sketch to find the exact value of each expression. a. cot [sin-1( 13)] b. csc [cos-1 (-3 ) ] 4. Use a right triangle to write csc cos (2)] as an algebraic expression. Assume x is positive and the given inverse trigonometric function is defined for the expression in x