Page 8 - Formula-All

Produced with a Trial Version of PDF Annotator - www.PDFAnnotator.com
B. Tech. Semester-I (All Branch) Important Formulas

(D) Trigonometric Functions:

d
(1) [sin x] = cos x
dx

d d
2
3
sin 5x = cos 5x · (5) and sin 5x = 3 sin 5x · cos 5x · (5)
dx dx
d
(2) [cos x] = − sin x
dx

d
2
(3) [tan x] = sec x
dx

d
2
(6) [cot x] = −cosec x
dx

d
(5) [sec x] = sec x tan x
dx

d
(4) [cosec x] = −cosec x cot x
dx

(E) Inverse Trigonometric Functions:

1
d −1
(1) sin x = √
dx 1 − x 2

−1
d −1
(1) cos x = √
dx 1 − x 2

1
d −1
(1) tan x =
dx 1 + x 2

−1
d −1
(1) cot x =
dx 1 + x 2

1
d −1
(1) sec x = √
2
dx x x − 1

−1
d −1
(1) cosec x = √
dx x x − 1
2

Mr. Snehal D. Patel (Assistant Professor - Mathematics) Page 5 of 9