# Trigonometric Equations

## General Solution of the Equation of form $$a cos\theta$$ + $$b sin \theta$$ = c

General Solution of the equation $$a cos\theta$$ + $$b sin \theta$$ = c, where a, b, c $$\in$$ R such that | c | $$\le$$ $$\sqrt{a^2 + b^2}$$. To solve this type of equations, we first reduce them in the form $$cos \theta$$ = $$cos \alpha$$,  or  $$sin \theta$$ = $$sin \alpha$$. The following algorithm …

## Trigonometric Equation Examples

Here you will learn some trigonometric equation examples for better understanding of trigonometric equation concepts. Example 1 : Find general solution of (2sinx – cosx)(1 + cosx) = $$sin^2x$$ Solution : (2sinx – cosx)(1 + cosx) – (1 – $$cos^2x$$) = 0 $$\therefore$$   (1 + cosx)(2sinx – cosx – 1 + cosx) = 0 …

## Trigonometric Equations Solving Strategies

Here, you will learn trigonometric equations solving strategies i.e by factorisation and reducing it to a quadratic equation etc. Let’s begin – Different Strategies for Trigonometric Equations Solving (a) Solving trigonometric equations by factorisation Example : If $$1\over 6$$sin x, cos x, tan x are in G.P. then the general solution for x is Solution …

## How to Find General Solution of Trigonometric Equation

Here, you will learn what is trigonometric equation and how to find general solution of trigonometric equation with examples. Let’s begin – An equation involving one or more trigonometrical ratios of unknown angles is called a trigonometrical equation. Solution of Trigonometric Equation A value of the unknown angle which satisfies the given equation is called …