The answer depends on the nature of the equations.
Trigonometric identities are trigonometric equations that are always true.
That means the same as solutions of other types of equations: a number that, when you replace the variable by that number, will make the equation true.Note that many trigonometric equations have infinitely many solutions. This is a result of the trigonometric functions being periodic.
Yes. Trigonometric identities are extremely important when solving calculus equations, especially while integrating.
Look there!
It isn't clear what you want to solve for. To solve trigonometric equations, it often helps to convert other angular functions (tangent, cotangent, secant, cosecant) into the equivalent of sines and cosines. However, the details of course depend on the specific case.
You cannot solve a variable. You can solve an equation to find the value (or range of values) of a variable. How you do that depends on the nature of the equation that you have. Linear and quadratic equations are relatively simple, as are many trigonometric and exponential equations. But some cannot be solved in such a way and a numerical solution is required. Here you would make a guess and then improve on that guess and then improve on that until you were satisfied that you were close enough to the real answer.
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With ease, I suppose. The question depends on what you consider easy trigonometric functions.
Tell me the equations first.
There are people who use this web site that can and will solve equations.
You can use a graph to solve systems of equations by plotting the two equations to see where they intersect