Trigonometric relationships are very important in the construction and planning industry and allow precise calculation of unknown lengths and angles. Part of Maths Numeracy (WJEC) Geometry and

Learn how to use sine, cosine and tangent functions to find angles and distances in right-angled triangles and other triangles. See examples, graphs, calculators and links to more topics on trigonometry. Solving for an angle in a right triangle using the trigonometric ratios Sine and cosine of complementary angles Modeling with right triangles The reciprocal trigonometric ratios Unit 2: Trigonometric functions 0/1900 Mastery points Learn the formulas and graphs of sin, cos and tan, the three basic trigonometric functions, with examples and videos. Find out how to use the sine, cosine and tangent rules and the Pythagoras identity to solve problems involving right-angled triangles. Learn the basic and Pythagorean identities for trigonometric functions, such as sin, cos, tan, cot, sec and csc. Find out how to use them to simplify expressions, calculate angles and solve equations. See examples, formulas and diagrams.

While sine and cosine are readily identifiable as the projections of the radius on the vertical and horizontal axis, we need to see the definition of the tangent to understand how to find it and visualize it: \tan (\alpha) = \frac {\sin (\alpha)} {\cos (\alpha)} tan(α) = cos(α)sin(α)

Basic Identities: tan( tan( cot( sin( ) ) = cos( ) ) = cot( ) ) = tan( ) cot( sec( csc( Pythagorean Identities cos2( ) + sin2( ) = 1 sec2( ) − tan2( ) = 1 ) ) cos( = sin( ) ) = 1 cos( ) ) = sin( ) csc2( ) − cot2( ) = 1 Double Angle Identities sin(2 ) = 2 sin( ) cos( ) cos(2 ) = 1 − 2 sin2( ) cos(2 ) = 2 cos2( ) − 1 cos(2 tan(2
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    • sin cos tan rules