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Circle Geometry

This post about is the Circle theorems. Formulas for the radius of a circle, the diameter of a circle, the circumference (perimeter) of a circle.  Therefore It also include the length of chord of a circle. Because of  length of chord angle also varies. Similarly other properties also involve. Explore, prove, and apply important properties of circles that have […]

Double angle trigonometric equation

Double angle equations are allowing the expression of trigonometric functions of angles equal to 2u in terms of u.  The double angle formulas can simplify the functions and gives ease to perform more complex calculations. The double angle formulas are useful for finding the values of unknown trigonometric functions. Therefore in double angle equation we need to consider two rotation. […]

A Double angles identity

A Double angles identity is written2θ, for example, as sin 2θ, cos 2α, or tan 2x, where 2θ, 2α, and 2x. The angle measures and the assumption is that you mean sin(2θ), cos(2α), or tan(2x). Because tangent is equal to the ratio of sine and cosine . Therefor  its identity comes from their double-angle identities. double angle identity

Double Angle trigonometric Identity

A Double angles identity is written2θ, for example, as sin 2θ, cos 2α, or tan 2x, where 2θ, 2α, and 2x. The angle measures and the assumption is that you mean sin(2θ), cos(2α), or tan(2x). Because tangent is equal to the ratio of sine and cosine . Therefor  its identity comes from their double-angle identities.   Double angle

Trigonometric equations

Trigonometric equations use both the reference angles and trigonometric identities The general method of solving an equation is to convert it into the form of one ratio only.  Hence, we can obtain solutions. Trigonometric Equation  

Trigonometric Identity

The trigonometric identity  showing that the identity is always true, no matter what value of x or θ is used. Because it has to hold true for all values of x, we cannot simply substitute in a few values of x to “show” that they are equal.  We have to use logical steps to show […]

Trigonometric Identity

trigonometry identities showing that the identity is always true, no matter what value of x or θ is used. Because it has to hold true for all values of x, we cannot simply substitute in a few values of x to “show” that they are equal.  We have to use logical steps to show that one […]

Product to Sum

Product‐Sum and Sum‐Product Identities. The process of converting  products into sums can make a difference  .  Integrate \( \int \! \sin 3x \cos 4x \, \mathrm{d}x.\) This problem may seem tough at first, but after using the product-to-sum trigonometric formula, this integral very quickly changes into a standard form . Converting a sum of trig functions into a product. Write as and then […]

Interpretation of trigonometric graph

Sound waves travel in a repeating wave pattern. This represent graphically by sine and cosine functions. As trigonometric function is periodic therefore it use for sound wave. Similarly we use in wheel also for model function, because  of rotation of wheel. Also  use of periodic conditions. trigonometric function

 
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