Trig

Question 1

y = cos (x), y = cos (u)

Answer 1

y’ = - sin (x), y’ = - u’ sin (u)

Question 2

y = sin (x), y = sin (u)

Answer 2

y’ = cos (x), y’ = u’ cos(u)

Question 3

y = tan (x), y = tan (u)

Answer 3

y’ = sec^2 (x), y’ = u’ sec^2 (u)

Question 4

y = sec (x), y = sec (u)

Answer 4

y’ = sec (x) tan (x), y’ = u’ sec (u) tan (u)

Question 5

y = cot (x), y = cot (u)

Answer 5

y’ = - csc^2 (x), y’ = u’ (-csc^2(u))

Question 6

y = csc (x), y = csc (u)

Answer 6

y’ = -csc (x) cot (x), y’ = u’ (-csc(x)) cot (x)dd