01.20.2017. Friday
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 Geometry Two-dimensional geometric shapes⦿ Rhombus⦿ Parallelogram⦿ Trapezoid⦿ Kite⦿ Circle⦿ Circular sector⦿ Circular segment⦿ Area of a Triangle⦿ Squere⦿ Rectangle Three-dimensional geometric shapes⦿ Cube⦿ Sphere⦿ Cylinder⦿ Cone⦿ Prism⦿ Pyramide⦿ Platonic solids Trigonometry⦿ Law of Sines⦿ Law of Cosines⦿ Trygonometry Identities of same angle⦿ Identities for the sum and difference of two angles⦿ Trigonometric identities of double angles⦿ Trigonometric identities of half angles⦿ Sum and difference of trigonometric functions⦿ Trigonometry of right triangles Vectors⦿ Scalar Product of Vectors⦿ Vector Product of Vectors Analytical Geometry 2D⦿ Distance between two points⦿ Circle⦿ Linear equation⦿ Ellipse

Trigonometry

# Sum and difference of trigonometric functions

$sin\alpha +sin\beta =2sin\frac{\alpha +\beta }{2}·cos\frac{\alpha -\beta }{2}$
$sin\alpha -sin\beta =2cos\frac{\alpha +\beta }{2}·sin\frac{\alpha -\beta }{2}$
$cos\alpha +cos\beta =2cos\frac{\alpha +\beta }{2}·cos\frac{\alpha -\beta }{2}$
$cos\alpha -cos\beta =-2sin\frac{\alpha +\beta }{2}·sin\frac{\alpha -\beta }{2}$
$tg\alpha ±tg\beta =\frac{sin\left(\alpha ±\beta \right)}{cos\alpha ·cos\beta }$
$ctg\alpha +ctg\beta =\frac{sin\left(\alpha +\beta \right)}{sin\alpha ·sin\beta }$
$ctg\alpha -ctg\beta =\frac{sin\left(\beta -\alpha \right)}{sin\alpha ·sin\beta }$