Turunan Fungsi Trigonometri: Penjelasan sin, cos, tan, cot, sec dan Contoh Soal

f (x) = sin u → f ‘(x) = cos u . u’

f (x) = cos u → f ‘(x) = −sin u . u’

f (x) = tan u → f ‘(x) = sec2u . u’

f (x) = cot u → f ‘(x) = −csc2 u . u’

f (x) = sec u → f ‘(x) = sec u tan u . u’

f (x) = csc u → f ‘(x) = −csc u cot u . u’.

B. Perluasan Rumus Turunan Fungsi Trigonometri II

Misalkan variabel sudut trigonometrinya (ax+b), dimana a dan b yaitu bilangan real dengan a≠0, maka turunan fungsi trigonometrinya yaitu,f (x) = sin (ax + b) → f ‘(x) = a cos (ax + b)

f (x) = cos (ax + b) → f ‘(x) = -a sin (ax + b)

Baca Juga: Anaknya Dihina Henny Rahman, Ibu Larissa Chou Beri Sindiran Pedas

f (x) = tan (ax + b) → f ‘(x) = a sec2 (ax +b)

f (x) = cot (ax + b) → f ‘(x) = -a csc2 (ax+b)

f (x) = sec (ax + b) → f ‘(x) = a tan (ax + b) . sec (ax + b)

f (x) = csc (ax + b) → f ‘(x) = -a cot (ax + b) . csc (ax + b).

Contoh Soal Turunan Trigonometri

Soal 1