1.

Find the derivative of the following functions (it is to be understand that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers): `(sin(x+a))/(cos x)`

Answer» Let `y=(sin (x+a))/(cos x)`
`rArr (dy)/(dx)=(d)/(dx)(sin(x+a))/(cos x)`
`=(cos x(d)/(dx)sin(x+a)-sin(x+a)(d)/(dx) cos x)/((cos x)^(2)x)`
`=(cos x cos (x+a)+sin(x+asinx)/(cos^(2)x)`
`=(cos(x+a-x))/(cos^(2)x)=(cos a)/(cos^(2)x)`


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