trigonometry formulas & list of most important formula of trigonometry
Ranges of the Trigonometric Functions
The ranges of the trigonometry functions are as follows:
- −1 ≤ sin θ ≤ 1
- −1 ≤ cos θ ≤ 1
- −∞ ≤ tan θ ≤ ∞
- csc θ ≥ 1 and csc θ ≤ −1
- sec θ ≥ 1 sec θ ≤ −1
- −∞ ≤ cot θ ≤ ∞
Co-function Identities (in Degrees)
The co-function or periodic identities can also be represented in degrees as:
- sin(90°−x) = cos x
- cos(90°−x) = sin x
- tan(90°−x) = cot x
- cot(90°−x) = tan x
- sec(90°−x) = cosec x
- cosec(90°−x) = sec x
Inverse Trigonometry Formula
sin-1 (–x) = – sin-1 x
cos-1 (–x) = π – cos-1 x
tan-1 (–x) = – tan-1 x
cosec-1 (–x) = – cosec-1 x
sec-1 (–x) = π – sec-1 x
cot-1 (–x) = π – cot-1 x