- #1
DeanBH
- 82
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i know that pCosX = 6 and 0.2(pSinX+25)= 6
pSinx = 5
pCosx = 6
how do i solve for X.. I'm not sure how this works
pSinx = 5
pCosx = 6
how do i solve for X.. I'm not sure how this works
Solving for X: pCosX & pSinX Equations
- Thread starter DeanBH
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In summary, pCosX and pSinX equations are trigonometric equations that involve finding the value of the unknown variable, X. The main difference between them is that pCosX equations involve the cosine function, while pSinX equations involve the sine function. To solve for X in a pCosX equation, you can use the inverse cosine function or algebraic manipulation. The Pythagorean identity is used in pSinX equations to simplify the equation. These equations can have multiple solutions due to the periodic nature of trigonometric functions. Some tips for solving these equations include visualizing the functions on a unit circle and remembering basic trigonometric identities.
- #2
dirk_mec1
- 761
- 13
What do you mean by psin(x)? What does the p stands for? Is it a variable?
- #3
DeanBH
- 82
- 0
nvm... its constant
- #4
tiny-tim
Science Advisor
Homework Helper
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DeanBH said:
Hi DeanBH!
Hint: whenever you have cos and sin (and nothing else), rearrange, take squares, and add.
1. What is the difference between pCosX and pSinX equations?
pCosX and pSinX equations are both trigonometric equations that involve finding the value of the unknown variable, X. The main difference between them is that pCosX equations involve the cosine function, while pSinX equations involve the sine function. This means that the equations will have different forms, and the solutions will also be different.
2. How do I solve for X in a pCosX equation?
To solve for X in a pCosX equation, you can use the inverse cosine function, also known as arccosine. This function will give you the angle whose cosine is equal to the given value. You can also use trigonometric identities and algebraic manipulation to simplify the equation and solve for X.
3. What is the Pythagorean identity and how is it used in pSinX equations?
The Pythagorean identity is a trigonometric identity that states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In pSinX equations, this identity is used to simplify the equation by replacing the square of the sine function with 1 minus the square of the cosine function.
4. Can pCosX and pSinX equations have multiple solutions?
Yes, pCosX and pSinX equations can have multiple solutions. This is because the trigonometric functions are periodic, meaning their values repeat after a certain interval. Therefore, there may be more than one angle that satisfies the equation. It is important to specify the domain or range of values when solving for X to determine all possible solutions.
5. Are there any tips for solving pCosX and pSinX equations?
One helpful tip for solving pCosX and pSinX equations is to draw a unit circle and use it to visualize the trigonometric functions. This can help you understand the relationships between the sine and cosine functions and how they can be used to solve equations. It is also important to remember the basic trigonometric identities and to carefully follow the order of operations when simplifying the equations.
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