sin(x -y)=s in(x) cos(y) -cos(x)sin(y) cos(x -y) = cos(x) cos(y)+sin(x)sin(y) tan(x) -tan(y) tan(x -y)= 1 + tan(x) tan(y) LAW OF SINES sin(A) sin(B) sin(C) = = a b c. DOUBLE-ANGLE IDENTITIES sin(2x)=2s in(x) cos(x) cos(2x) = cos 2 (x) -sin 2 (x) = 2 cos 2 (x) 1 =1-2sin 2-(x) 2 tan(x) tan(2x)= 1 -tan 2 (x) HALF-ANGLE IDENTITIES r ⇣ ⌘x 1 cos
Sin is the ratio of the opposite side to the hypotenuse, cos is the ratio of the adjacent side to the hypotenuse, and tan is the ratio of the opposite side to the adjacent side. They are often written as sin(x), cos(x), and tan(x), where x is an angle in radians or degrees. Created by Sal Khan.
Laws and theorems. Sines. Cosines. Tangents. Cotangents. Pythagorean theorem. Calculus. Trigonometric substitution. Integrals ( inverse functions) Derivatives. v. t. e. In mathematics, sine and cosine are trigonometric functions of an angle.
This page explains the sine, cosine, tangent ratio, gives on an overview of their range of values and provides practice problems on identifying the sides that are opposite and adjacent to a given angle. The Sine, Cosine and Tangent functions express the ratios of sides of a right triangle.
Basic Formulas. Reciprocal Identities. Trigonometry Table. Periodic Identities. Co-function Identities. Sum and Difference Identities. Double Angle Identities. Triple Angle Identities. Half Angle Identities. Product Identities. Sum to Product Identities. Inverse Trigonometry Formulas. Basic Trigonometric Function Formulas.
Generalized trigonometry. Reference. Identities. Exact constants. Tables. Unit circle. Laws and theorems. Sines. Cosines. Tangents. Cotangents. Pythagorean theorem. Calculus. Trigonometric substitution. Integrals ( inverse functions) Derivatives. v. t. e.
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sin cos tan laws