Evaluating Tanx + Cosx/Sinx = Secx + Cotx

  • Thread starter heelp
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In summary, the equation Tanx + Cosx/Sinx = Secx + Cotx is a trigonometric identity that shows the relationship between tangent, cosine, sine, secant, and cotangent of an angle x. It can be evaluated by simplifying both sides using trigonometric identities and algebraic operations. This equation is significant as it is used in mathematical proofs and applications involving trigonometric functions. It can also be used to solve problems in mathematics, physics, and engineering. Furthermore, it can be applied in real-world scenarios such as navigation and engineering. However, it is important to note that this equation is an identity and not an equation that can be solved for a specific value of x.
  • #1
heelp
23
0
tanx +cosx/sinx = secx + cotx
This is what I have so far

cos^2x sin^2/cos/sin^2x/cos^2x =sinX^2/cosx/sinx^2

Thanks for the help in advance.
 
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  • #2
You might want to make that more strictly typed.

Not that it really matters, after all, you do know tan is sin/cos, right?
 
  • #3
Get your parentheses right!
You have the expression:
[tex]\frac{\tan(x)+\cos(x)}{\sin(x)}[/tex]
To gain your right hand side, just split that fraction into two fractions in the most natural manner.
 

FAQ: Evaluating Tanx + Cosx/Sinx = Secx + Cotx

What does the equation Tanx + Cosx/Sinx = Secx + Cotx mean?

The equation Tanx + Cosx/Sinx = Secx + Cotx is a trigonometric identity that shows the relationship between tangent, cosine, sine, secant, and cotangent of an angle x. It means that the tangent of x plus the quotient of cosine of x and sine of x is equal to the secant of x plus the cotangent of x.

How is this equation evaluated?

This equation can be evaluated by simplifying both sides using trigonometric identities and algebraic operations. The goal is to make both sides equal to each other by transforming one side to look like the other. Once this is achieved, it can be proved that the equation is true for all values of x.

What is the significance of this equation?

This equation is significant because it is a fundamental identity that is used in many mathematical proofs and applications involving trigonometric functions. It also helps to establish the relationships between different trigonometric functions and can be used to solve various problems in mathematics, physics, and engineering.

Can this equation be used to solve for specific values of x?

Yes, this equation can be used to solve for specific values of x by substituting the known values into the equation and simplifying it. However, it is important to note that this equation is an identity and not an equation that can be solved for a specific value of x.

How can this equation be applied in real-world scenarios?

This equation can be applied in real-world scenarios to solve problems involving angles and distances. For example, it can be used in navigation to determine the distance and angle between two points, or in engineering to calculate the slope of a ramp or the height of a building.

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