- #1
Karma
- 76
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sec(pi)=2/2x+1
-1=2/2x+1
-2x-1=2
-2x=3
x=-3/2
is this correct?
-1=2/2x+1
-2x-1=2
-2x=3
x=-3/2
is this correct?
Is Cos(pi(2x+1)) the Key to Simplifying the Search for x Values?
- Thread starter Karma
- Start date
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SUMMARY
The discussion centers on the equation sec(pi(2x+1)) = 2 and its implications for simplifying the search for x values. Participants clarify the correct interpretation of the equation, confirming that sec(pi(2x+1)) = 2 is the intended expression. The transformation to cos(pi(2x+1)) is explored as a potential simplification method for solving for x. The final solution derived is x = -3/2, indicating a specific value that satisfies the equation.
PREREQUISITES- Understanding of trigonometric functions, specifically secant and cosine.
- Familiarity with algebraic manipulation of equations.
- Knowledge of solving trigonometric equations for variable isolation.
- Basic grasp of the unit circle and its properties related to angle measures.
- Study the properties of secant and cosine functions in trigonometry.
- Learn techniques for solving trigonometric equations, focusing on transformations.
- Explore the implications of the unit circle on trigonometric identities.
- Investigate the use of graphing calculators or software for visualizing trigonometric functions.
Mathematics students, educators, and anyone interested in solving trigonometric equations or simplifying expressions involving secant and cosine functions.