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**Place an order**

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## Help With Trigonometric Equations

Even ancient Greek mathematicians who used the elements of trigonometry to solve right-angled triangles actually composed and solved trigonometric equations. Historically, the theory of solving trigonometric equations was formed with the development of the theory of trigonometric functions, and it also drew general methods for their solution from algebra.

### How our experts solve trigonometric equations

- If the arguments of the functions are the same, they try to get the same functions using formulas without changing the arguments.
- If the function arguments are two times different, they try to get the same arguments using the double argument formulas.
- If the function arguments differ by four times, they try converting them to an intermediate double argument.
- If there are functions of one argument, degrees greater than the first, they try decreasing the degree with the usage of the degree reduction formulas or the abbreviated multiplication formulas.
- If there is a sum of functions of the same name of the first degree with different arguments (outside of second and third cases), they try converting the sum to a product to obtain a common factor.
- If there is a sum of oppositely named functions of the first degree with different arguments (outside second and third cases), they try using the reduction formulas, then get the fourth case.
- If the equation contains the product of cosines (sines) of different arguments, they try to reduce it to the formula for the sine of a double argument by multiplying and dividing this expression by the sine (cosine) of the appropriate argument.
- If the equation has a numerical term (multiplier), then they represent it as the values of the angle function.

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