SUMMARY
The solution to the equation tan(theta) = 2/5 is approximately 2.62 radians. To arrive at this result, one must use the arctangent function, specifically arctan(2/5). It is crucial to ensure that the calculator is set to the correct mode, either degrees or radians, to obtain the desired output. This discussion highlights the importance of understanding trigonometric functions in the context of complex numbers.
PREREQUISITES
- Understanding of trigonometric functions, specifically tangent and arctangent.
- Familiarity with radians and degrees in angle measurement.
- Basic knowledge of complex numbers and their trigonometric forms.
- Ability to use scientific calculators or software for trigonometric calculations.
NEXT STEPS
- Learn how to use the arctangent function on various calculators.
- Study the relationship between radians and degrees in trigonometry.
- Explore the trigonometric forms of complex numbers in more depth.
- Practice solving additional trigonometric equations using different values.
USEFUL FOR
Students studying trigonometry, particularly those working with complex numbers, as well as anyone needing to solve trigonometric equations using calculators.