Science, Mathematics & Ideas Worth Exploring

Databases

What is a database? A database is a software program that provides facilities for efficiently storing and retrieving information. The information can be stored on a…

Trigonometric Functions

The six trigonometric functions are defined below. Refer to the above diagram to get the relational picture. sinθ = \( \dfrac {\mathrm{perpendicular}} {\mathrm{hypotenuse}} = \dfrac {p}{h}…

sinθ (Sine of an angle)

cosθ (Cosine of an angle)

cscθ (Cosecant of an angle)

secθ (Secant of an angle)

cotθ (Cotangent of an angle)

tanθ (Tangent of an angle)

Pythagoras' theorem

Pythagoras’ theorem is stated as : The sum of the areas of the two squares on the perpendicular(p) and base(b) of a right-angle triangle is equal…

Sides of a Triangle

A right-angle triangle is a triangle in which one of the angles measures 90°. Right-angled triangles have wide applications in mathematics and physics and as such,…

Trigonometric functions in terms of a unit circle context

The trigonometric functions can be described on an x-y coordinate plane (Euclidean plane) using a circle of radius 1 unit and cutting a sector that subtends…

Relation between radian and degree

By definition, L (length of arc) = ( \dfrac { \mathrm{θ_{deg} } } {360} ) × Circumference (arc length is proportional to angle, one complete arc…