Trigonometric Solutions for tg(4x) = 1: Clarifying Doubts and Correctness

In summary, trigonometric solutions are mathematical solutions that use trigonometric functions to solve equations and problems involving angles and triangles. They have many real-life applications and are used to calculate distances, heights, angles, and other measurements in various fields. The basic trigonometric functions used in trigonometric solutions are sine, cosine, and tangent, but other functions like cosecant, secant, and cotangent are also commonly used. To solve a trigonometric equation, you must simplify it using properties and identities of trigonometric functions and then use inverse trigonometric functions to find the variable's value. There are special rules and formulas, such as Pythagorean identities and double angle formulas, that are commonly used in solving trig
  • #1
scientifico
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Homework Statement



tg(4x) = 1

The Attempt at a Solution


I have a doubt about the part I have to add to the result, are these solutions correct ?

4x = 45° + n * pi
x = 11,25° + n * (pi/4)

Thanks
 
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  • #2
scientifico said:

Homework Statement



tg(4x) = 1

The Attempt at a Solution


I have a doubt about the part I have to add to the result, are these solutions correct ?

4x = 45° + n * pi
x = 11,25° + n * (pi/4)

Thanks

Looks good.
 

FAQ: Trigonometric Solutions for tg(4x) = 1: Clarifying Doubts and Correctness

What are trigonometric solutions?

Trigonometric solutions are mathematical solutions that use trigonometric functions, such as sine, cosine, and tangent, to solve equations and problems involving angles and triangles.

How are trigonometric solutions used in real life?

Trigonometric solutions have many real-life applications, including navigation, engineering, physics, and astronomy. They are used to calculate distances, heights, angles, and other measurements in various fields.

What are the basic trigonometric functions used in trigonometric solutions?

The basic trigonometric functions used in trigonometric solutions are sine, cosine, and tangent. Other commonly used functions include cosecant, secant, and cotangent.

How do you solve a trigonometric equation using trigonometric solutions?

To solve a trigonometric equation, you must use the properties and identities of trigonometric functions to simplify the equation and isolate the variable. Then, you can use inverse trigonometric functions to find the value of the variable.

Are there any special rules or formulas for solving trigonometric solutions?

Yes, there are several rules and formulas that are commonly used in solving trigonometric solutions, such as the Pythagorean identities, sum and difference formulas, double angle formulas, and half angle formulas. It is important to be familiar with these rules and formulas when solving trigonometric equations.

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