In mathematics Trigonometric Equations can be used in measuring angles and inclination. Here we will see how to solve trigonometric equations, for this we should have knowledge of sine function, cosine function and Tangent function and their reciprocal Functions as well. These angles always lie within Domain of 360 degrees. We describe angles in functions of trigonometric form as sin(x), cos(x), tan(x) and so on. Here 'x' represents angle measurements.
There are some rules which are followed while Solving Trigonometric Equations:
Rule 1: If a trigonometric equation is y = sin(x) then it will have two solutions, if equation is in the form y = sin (2x) then it will have three solutions and so on.
Rule 2: In order to solve equations we should know in which quadrant angle lies. There are 4 quadrants from top right to bottom right.
Rule 3: When we solve trigonometric equations we should know how to transform a function from one form to another. This will help to solve equations easily. We can convert a sine function in cosine function, in tangent function and vice versa.
Rule 4: In order to solve such trigonometric equations we should know angle values. We can also convert angle value in other angle by adding or subtracting 180 degree or 90 degree.
Rule 5: By making a graph and locating angles on it we can easily calculate trigonometric equations. We mark location in one of four quadrants.
Rule 6: All Trigonometric Functions are periodic in nature, which means they will repeat their values after a certain time Period. They will follow same values again. We can predict their value with help of this rule.
These are some rules which help to solve trigonometric equations.