Learn about arithmetic geometric and harmonic series with 5 examples each. Discover the formulas and how to solve problems.
Understanding Arithmetic Geometric and Harmonic Series: 5 Examples Each
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TRIGONOMETRY
Recent Articles in Mathematics
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Trigonometric Functions
The six trigonometric functions are defined below. Refer to the above diagram to get the relational picture. sinθ = \( \dfrac {\mathrm{perpendicular}} {\mathrm{hypotenuse}} = \dfrac {p}{h} \) cosθ = \( \dfrac {\mathrm{base}} {\mathrm{hypotenuse}} = \dfrac {b}{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 to the area of the square on the hypotenuse(h). i.e. p2 + b2 = h2
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, it became convenient to have specific names for their sides so that the problem statement in mathematics...
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 an angle θ at the centre. Refer to the diagram below for details.