vkash said:tan-1[2x/(1-x2)]+cot-1[(1-x2)/2x]=2π/3
tan-1[2x/(1-x2)]=2π/6
cot-1(a/b) = tan-1(b/a)Bread18 said:How did you get from the first line to the second?
eumyang said:According to Wolframalpha, there are two solutions, 1/√3 and -√3. How do you know that there are four solutions?
Ah right, missed that. Thanks.SammyS said:cot-1(a/b) = tan-1(b/a)
I.e.: cot(x) = 1/tan(x)
To solve an inverse trigonometry question, you need to first identify which inverse trigonometric function is relevant to the given problem. Use the following guidelines to determine the correct function:
The general approach for solving an inverse trigonometry question is as follows:
Yes, you can use a scientific calculator to solve inverse trigonometry questions. Most scientific calculators have buttons for the inverse trigonometric functions, such as sin⁻¹, cos⁻¹, and tan⁻¹. Just make sure that your calculator is set to the correct angle mode (degrees or radians) before solving the problem.
The choice between using radians or degrees in an inverse trigonometry question depends on the given problem. If the problem involves angles measured in degrees, then use degrees in your calculations. If the problem involves angles measured in radians, then use radians in your calculations. It is important to pay attention to the units given in the problem and make sure to use the correct units in your calculations.
If you get a negative answer when solving an inverse trigonometry question, it usually means that you have chosen the incorrect inverse trigonometric function. Double check your calculations and make sure you are using the correct function. If you get an undefined answer (such as dividing by zero), it means that the given problem is not possible to solve using inverse trigonometry. In this case, you may need to reevaluate the problem or use a different approach to solve it.