Find the domain of the function .

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SUMMARY

The discussion focuses on determining the domain of the function f(A) = (1 + sinA) / (1 - sinA) given its range as {0, 1, 3}. To find the domain, the values of A must be solved for when f(A) equals 0, 1, and 3. The critical points arise from setting the function equal to these values and solving the resulting equations, which leads to identifying the valid inputs for A that yield the specified outputs.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine.
  • Knowledge of algebraic manipulation and solving equations.
  • Familiarity with the concept of function range and domain.
  • Basic calculus concepts related to limits and continuity.
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  • Learn how to solve trigonometric equations for specific values.
  • Study the properties of rational functions and their domains.
  • Explore the implications of function continuity on domain determination.
  • Investigate inverse trigonometric functions and their ranges.
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Mathematics students, educators, and anyone involved in calculus or trigonometry who seeks to deepen their understanding of function domains and ranges.

Riwaj
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1) Given that the range of function f(A) = \frac{1 + sinA}{1 - sinA} is { 0,1,3} . Find the domain of the function .
 
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Riwaj said:
1) Given that the range of function f(A) = \frac{1 + sinA}{1 - sinA} is { 0,1,3} . Find the domain of the function .

Let f(A) = 0 and solve for A.

Do the same for 1 and 3.
 

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