SUMMARY
The equation 4 sin(x) = 1.8 simplifies to sin(x) = 9/20. The solution in the first quadrant is x = arcsin(9/20). To find the solution in the second quadrant, apply the identity sin(π - x) = sin(x), resulting in the final solution x = π - arcsin(9/20).
PREREQUISITES
- Understanding of trigonometric functions and their properties
- Familiarity with the unit circle and quadrants
- Knowledge of inverse trigonometric functions
- Ability to work with radians in trigonometry
NEXT STEPS
- Study the properties of the sine function in different quadrants
- Learn about the unit circle and how it relates to trigonometric functions
- Explore the use of inverse trigonometric functions in solving equations
- Investigate additional trigonometric identities and their applications
USEFUL FOR
Students studying trigonometry, educators teaching trigonometric concepts, and anyone needing to solve trigonometric equations in various quadrants.