Math Problem Statement
Solution
It looks like you've uploaded an image containing a trigonometric expression. I'll transcribe the equation and help you solve it.
The equation appears to be:
To solve for :
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Move the constant to the other side:
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Take the inverse tangent (arctan) of both sides to find :
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Using a calculator or in radians: In degrees, this would be:
Since tangent is periodic, the general solution can be written as: This accounts for the periodic nature of the tangent function.
Would you like more details on solving trigonometric equations?
Here are 5 questions to consider next:
- What is the periodicity of the tangent function?
- How do you convert radians to degrees?
- What is the importance of the general solution for trigonometric functions?
- How can we solve other trigonometric equations involving sine and cosine?
- What are the key differences between the tangent and cotangent functions?
Tip: Always remember to account for the periodicity of trigonometric functions when solving for all possible solutions!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Tangent
Secant
Formulas
tan(θ) = opposite / adjacent
sec(θ) = 1 / cos(θ)
Theorems
Trigonometric Identities
Periodic Nature of Trigonometric Functions
Suitable Grade Level
Grades 10-12
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