- #1
baokhuyen
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Homework Statement
How can I eliminate tha parameter of these equations:
x=sec x, y=tan x
You can't if there is NO parameter. I assume you meant x= sec t, y= tan t. As Dick said, square and subtract- you are using a simple trig identity.baokhuyen said:Homework Statement
How can I eliminate tha parameter of these equations:
x=sec x, y=tan x
Homework Equations
The Attempt at a Solution
The solution to the equation x=sec x is x=0.7390851.
To solve the equation y=tan x, you need to use the inverse tangent function or arctan. This will give you the value of x that satisfies the equation.
Yes, there are restrictions on the values of x and y in this equation. Since secant and tangent are trigonometric functions, the values of x and y must be within the domain of trigonometric functions, which is (-∞, ∞).
Yes, this equation can have multiple solutions. Since trigonometric functions are periodic, there can be multiple values of x that satisfy the equation.
Solving parameter equations is helpful in scientific research as it allows for the accurate calculation of values in mathematical models and equations. These solutions can then be used to make predictions and test hypotheses in scientific experiments and studies.