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

# Trygonometry Identities of same angle

$si{n}^{2}\alpha +co{s}^{2}\alpha =1$

$tg\alpha =\frac{sin\alpha }{cos\alpha },\phantom{\rule{1em}{0ex}}ctg\alpha =\frac{cos\alpha }{sin\alpha },\phantom{\rule{1em}{0ex}}ctg\alpha =\frac{1}{tg\alpha }$

$1+t{g}^{2}\alpha =\frac{1}{co{s}^{2}\alpha },\phantom{\rule{1em}{0ex}}1+ct{g}^{2}\alpha =\frac{1}{si{n}^{2}\alpha }$

$sin\alpha =cos\left({90}^{\circ }-\alpha \right),\phantom{\rule{1em}{0ex}}cos\alpha =sin\left({90}^{\circ }-\alpha \right)$

$tg\alpha =ctg\left({90}^{\circ }-\alpha \right),\phantom{\rule{1em}{0ex}}ctg\alpha =tg\left({90}^{\circ }-\alpha \right)$