Trigonometric equations:
An equation involving 1 or more trigonometrical ratios of unknown angle is known as trigonometric equation e.g. cos2 x - 4 sin x = 1
It is to be noted that the trigonometrical identity is satisfied for each value of the unknown angle where as trigonometric equation is satisfied only for some values (finite or infinite) of the unknown angle.
For example sec2 x - tan2 x = 1 is a trigonometrical identity as it is satisfied for each value of x ∈ R.
SOLUTION OF A TRIGONOMETRIC EQUATION
A value of unknown angle which satisfies given equation is called as solution of the equation for example sinθ = ½ => θ = Π/6 .
General Solution
As trigonometrical functions are periodic functions, solutions of the trigonometric equations can be generalized by the help of the periodicity of trigonometrical functions. The solution comprising all the possible solutions of trigonometric equation is called as general solution of it.
We use following formulae for solving trigonometric equations:
![1613_Trigonometric equations.png](https://www.expertsmind.com/CMSImages/1613_Trigonometric%20equations.png)
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