Page 3 - Formula-All

B. Tech. Semester-I (All Branch) Important Formulas
U. V. Patel College of Engineering

B. Tech. Semester - I (All)

Subject: 2HS101 Calculus

Department of Mathematics

(A) Reciprocal Identities

1 1
(1) sin x = cosec x = sin x · cosec x = 1
cosec x sin x

1 1
(2) cos x = sec x = cos x · sec x = 1
sec x cos x

1 1
(3) tan x = cot x = tan x · cot x = 1
cot x tan x

(B) Pythagorean Identities

2
2
(1) sin x + cos x = 1

2
2
(2) sec x − tan x = 1
2
2
(3) cosec x − cot x = 1
(C) Even - Odd Identities

(1) sin (−x) = − sin x (2) cosec (−x) = −cosec x

(3) cos (−x) = cos x (4) sec (−x) = sec x

(5) tan (−x) = − tan x (6) cot (−x) = − cot x

(D) Co-function Identities

π π

(1) sin − x = cos x (2) cos − x = sin x
2 2
π π

(3) tan − x = cot x (4) cot − x = tan x
2 2

π π

(5) sec − x = cosec x (6) cosec x − x = sec x
2 2

Mr. Snehal D. Patel (Assistant Professor - Mathematics) Page 1 of 9