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# Prove that $\tan\left(x\right)=\frac{1}{2}$ is not an identity

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sin
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asin
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sinh
cosh
tanh
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asinh
acosh
atanh
acoth
asech
acsch

##  Final answer to the problem

The equation is not an identity

##  Step-by-step Solution 

How should I solve this problem?

• Verify if true (using algebra)
• Express in terms of sine and cosine
• Simplify
• Simplify into a single function
• Express in terms of Sine
• Express in terms of Cosine
• Express in terms of Tangent
• Express in terms of Cotangent
• Express in terms of Secant
• Express in terms of Cosecant
Can't find a method? Tell us so we can add it.
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This equation has no solutions in the real plane

$No solution$
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There is no identity or mathematical rule that allows us to proceed trying to match both sides of the equality, so we conclude that it is not true

The equation is not an identity

##  Final answer to the problem

The equation is not an identity

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

###  Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.