can someone please solve number 9 Consider the angle theta

Consider the angle theta = -12 degree. Sketch the angle is standard position. Determine a angle is the internal[0 degree -360 degree]. Rewrite the angle is radian as a multiple of x. Find the reference angle 0 degree. Find the values of the six trigonometric functions of x. Convert the angle theta = -1.45 radians to degree f(x) = 3 - 2 sin pi x g(x) = 1/2 tan(x - pi/2) h(x) = -sec(x + pi) Find cos theta when tan theta = -21/20 and sin theta

Solution

9)sin(u)=12/13 =>cosu =((13²-12²))/13 =5/13

cosv =3/5=>sinv =((5²-3²))/5 =4/5

sin(u-v)=sinucosv- cosusinv =(12/13)(3/5) -(5/13)(4/5) =(36/65)-(20/65)=16/65

cos(u-v)=cosucosv+ sinusinv =(5/13)(3/5) +(12/13)(4/5) =(15/65)+(48/65)=63/65

tan(u-v)=sin(u-v)/cos(u-v)=(16/65)/(63/65)

tan(u-v)=16/63