Trigonometry: Solving Trigonometric Equations
This is a free lesson from our course in Trigonometry
 
   
In this lesson you'll explore how to solve trigonometric equations consisting of trigonometric functions. This will be done with the help of some examples, practice questions with solution and using video explanation by the instructor in own handwriting. Step by step solving trigonometric equations requires simplification techniques and use of earlier learnt algebra because both principles are related.
A trigonometric equation is one that involves one or more of the six functions sine, cosine, tangent, cotangent, secant, and cosecant.Solving trigonometric equations could be of two types: A simple trigonometric equation or trigonometric identities. Identities are true for any angle, whereas conditional equations may be true only for certain angles.(More text below video...)
<h2>Trigonometry - Solving Trigonometric Equations</h2> <p>trigonometric equations, solving equations, identities, solution, video, formula, trigonometry, math homework, sine, cosine, tangent, cotangent, secant, cosecant, example, trigonometric functions, quadrant, solving general equations, practice questions, quizzes</p> <p>Solving trigonometric equations could be of two types: a simple trigonometric equation or trigonometric identities. Identities are true for any angle, whereas conditional equations may be true only for certain angles.</p>
Other useful lessons:
Meaning - Inverse Trigonometric Functions
Evaluating Inverse Trigonometric Functions
(Continued from above) Trigonometric equation can be solved analytically, here are the steps you can follow to do that:
put the equation in terms of one function of one angle.
write the equation as one trig function of an angle equals a constant.
write down the possible value(s) for the angle.
if necessary, solve for the variable.
apply any restrictions on the solution.
For example, to solve 2 cos x + 1 = 0, for all values of x such that 0 < x < , you isolate x in the same way you normally would do and then can write x = cos-1(-1/2). Since, the cosine function in quadrant II gives negative value, so x = 120 which is same as 2/3 radians.
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