Versine - Wikipedia
The versine appears as an intermediate step in the application of the half-angle formula sin 2 ( θ / 2 ) = 1 / 2 versin(θ), derived by Ptolemy, that was used to construct such tables.
List of trigonometric identities - Wikipedia
Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.
Versine -- from Wolfram MathWorld
Dec 31, 2024 · The versine, also known as the "versed sine," is a little-used trigonometric function defined by versin(z) = 2sin^2(1/2z) (1) = 1-cosz, (2) where sinz is the sine and cosz is the cosine. The versine can be extended to the complex plane as illustrated above. Its derivative is given by d/(dz)vers(z)=sinz, (3) and its indefinite integral by intvers(z)dz=z-sinz+C.
Trigonometry Formulas & Identities (Complete List) - BYJU'S
In trigonometry formulas, we will learn all the basic formulas based on trigonometry ratios (sin,cos, tan) and identities as per Class 10, 11 and 12 syllabi. Also, find the downloadable PDF of trigonometric formulas at BYJU'S.
Do "other" trigonometric functions than Tan Sin Cos and their ...
Jun 22, 2015 · How does the trigonometric identity $1 + \cot^2\theta = \csc^2\theta$ derive from the identity $\sin^2\theta + \cos^2\theta = 1$?
Why are $\\text{versin}(x)=1-\\cos(x)$, $\\text{coversin}(x)=1-\\sin…
Jan 24, 2021 · They were: $\text{versin}(x)=1-\cos(x)$, $\text{coversin}(x)=1-\sin(x)$, $\text{vercosin}(x)=1+\cos(x)$ and other similar ones. In the article it states that these were historically used but nowadays they have no real use.
Trigonometric Identities - Math is Fun
sin 2 θ means to find the sine of θ, then square the result, but; sin θ 2 means to square θ, then do the sine function
Trigonometric Identities - Math.com
sin ^2 (x) + cos ^2 (x) = 1 . tan ^2 (x) + 1 = sec ^2 (x) . cot ^2 (x) + 1 = csc ^2 (x) . sin(x y) = sin x cos y cos x sin y . cos(x y) = cos x cosy sin x sin y
Trigonometric Identities (List of Trigonometric Identities - BYJU'S
Express the ratios cos A, tan A and sec A in terms of sin A. Prove that sec A (1 – sin A)(sec A + tan A) = 1. Find the value of 7 sec 2 A – 7 tan 2 A. Show that (sin A + cosec A) 2 + (cos A + sec A) 2 = 7 + tan 2 A + cot 2 A; Using these identities, we can solve various mathematical problems.
Theta Calculator
Jan 18, 2024 · With Omni's theta calculator, you will learn how to solve every trigonometric function for any angle theta!