Easy yes or no answer sine law question.

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SUMMARY

The discussion centers on the application of the sine law in solving a triangle problem involving the equation A = sin-1(40 * sin(120°) / 65.8). Participants confirm that while the sine law can be used, caution is necessary due to the angle restriction inherent in the arcsin function, which only yields results between -90° and +90°. Specifically, for angles exceeding 90°, alternative approaches must be considered to ensure accurate results.

PREREQUISITES
  • Understanding of the sine law in trigonometry
  • Familiarity with the arcsin function and its range
  • Knowledge of triangle properties, particularly regarding obtuse angles
  • Basic calculator skills for trigonometric functions
NEXT STEPS
  • Research the implications of using the sine law for obtuse triangles
  • Learn about the law of cosines as an alternative to the sine law
  • Study the properties of inverse trigonometric functions
  • Explore practical examples of sine law applications in various triangle configurations
USEFUL FOR

Students studying trigonometry, educators teaching sine law applications, and anyone needing clarification on the use of arcsin in triangle problems.

ryan8642
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Homework Statement

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Is it ok to use sine law for this :

A=sIN^-1(40SIN120/65.8)

im not sure if this applies to the sin law angle restriction where the angle can't be over ??degrees?
 
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sin(120 deg.) = sin(60 deg.). The sin-1 (or arcsin) function on a calculator will give you a value between -90 degrees and +90 degrees, so for some triangles with angles larger than 90 deg., you need to take this into account.
 
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