What's wrong with this solution of tan^3x?

• p3t3r1
In summary, tan^3x is the cube of the tangent function, a commonly used trigonometric function in mathematics and physics. It represents the ratio of the opposite side to the adjacent side in a right triangle and is used to solve problems involving angles and distances. If the solution of tan^3x is wrong, it means that the calculated value is incorrect, which can be avoided by double-checking calculations and using the correct formula. To check for correctness, one can use a calculator or the Pythagorean theorem. Common mistakes when solving for tan^3x include using the wrong formula and assuming that the cube of the angle is the same as the cube of the tangent function. To improve understanding, it is recommended to practice solving
p3t3r1
I don't see what I am doing wrong in this. The answer I got is obviously not right. Appreciate any help. Thanks!

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Why is the answer you got obviously not right? I would say it is right.

Cause the answer is suppose to be 1/2(tanx)^2 -ln(secx)

so tanx^2 = secx^2 -1, and the -1 gets absorbed into the constant of integration.

Oh, yeah that would make sense. Is quite odd how two different things are exactly the same when you integrate them. Thanks.

1. What is tan^3x and why is it important?

Tan^3x refers to the cube of the tangent function, which is a trigonometric function commonly used in mathematics and physics. It represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle, and is used to solve various problems involving angles and distances.

2. What does it mean if the solution of tan^3x is wrong?

If the solution of tan^3x is wrong, it means that the calculated value for the cube of the tangent function is incorrect. This could be due to a mistake in the calculation or using the wrong formula or approach. It is important to double-check all calculations and make sure the correct formula is being used to avoid errors.

3. How can I check if my solution of tan^3x is correct?

To check if your solution of tan^3x is correct, you can use a calculator or a trusted online calculator to plug in the values and compare the result. You can also use the Pythagorean theorem to verify if the calculated values for the opposite and adjacent sides of the triangle are correct.

4. Are there any common mistakes or misconceptions when solving for tan^3x?

One common mistake when solving for tan^3x is incorrectly using the formula for the cube of the tangent function. Another misconception is assuming that the cube of the tangent function is the same as the cube of the angle, which is not true. It is important to understand the correct formula and how to apply it correctly in order to avoid mistakes.

5. How can I improve my understanding of tan^3x and its solutions?

To improve your understanding of tan^3x and its solutions, it is important to practice solving problems using this function. You can also seek guidance from a teacher or tutor, or use online resources and practice exercises. It is also helpful to review the properties and rules of trigonometric functions to gain a better understanding of how they work.

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