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Based on the following figure (see attachment) please help me figure out the equation that gives the positions of the minimuns along the screen. Combine your expressions in 12 and 13, and write the resulting equation in the space below. n λ = d sinθ Now, using the small angle approximation, , for angles less than about 20°, solve for y (the position on the screen) in terms of λ, L and d. y = n λ L / d   What is the equation that gives the positions of the minimums along the screen?

Based on the following figure (see attachment) please help me figure out the equation that gives the positions of the minimuns along the screen. Combine your expressions in 12 and 13, and write the resulting equation in the space below. n λ = d sinθ Now, using the small angle approximation, , for angles less than about 20°, solve for y (the position on the screen) in terms of λ, L and d. y = n λ L / d   What is the equation that gives the positions of the minimums along the screen?

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Based on the following figure (see attachment) please help me figure out the equation that gives the positions of the minimuns along the screen.

Combine your expressions in 12 and 13, and write the resulting equation in the space below.

n λ = d sinθ


Now, using the small angle approximation, , for angles less than about 20°, solve for y (the position on the screen) in terms of λ, L and d.

y = n λ L / d

 

What is the equation that gives the positions of the minimums along the screen?

 

 

 

 

 

 

In the diagram, a right triangle is depicted with the following components: 1. **Sides and Points**: - The horizontal side of the triangle is labeled as \( L \). - The vertical side of the triangle is labeled as \( y \). - The hypotenuse is the diagonal line connecting the base and height, ending at point \( P \). 2. **Angle**: - The angle θ is positioned between the horizontal side \( L \) and the hypotenuse. 3. **Labels**: - The point where the vertical line meets the hypotenuse is marked as \( P \). - The angle is represented by the symbol \( \theta \). This geometric figure is often used to demonstrate trigonometric relationships such as sine, cosine, and tangent, where: - \(\sin(\theta) = \frac{y}{\text{hypotenuse}}\) - \(\cos(\theta) = \frac{L}{\text{hypotenuse}}\) - \(\tan(\theta) = \frac{y}{L}\) This kind of diagram is useful in educational contexts for understanding the basic properties of right triangles and trigonometric functions.
Transcribed Image Text:In the diagram, a right triangle is depicted with the following components: 1. **Sides and Points**: - The horizontal side of the triangle is labeled as \( L \). - The vertical side of the triangle is labeled as \( y \). - The hypotenuse is the diagonal line connecting the base and height, ending at point \( P \). 2. **Angle**: - The angle θ is positioned between the horizontal side \( L \) and the hypotenuse. 3. **Labels**: - The point where the vertical line meets the hypotenuse is marked as \( P \). - The angle is represented by the symbol \( \theta \). This geometric figure is often used to demonstrate trigonometric relationships such as sine, cosine, and tangent, where: - \(\sin(\theta) = \frac{y}{\text{hypotenuse}}\) - \(\cos(\theta) = \frac{L}{\text{hypotenuse}}\) - \(\tan(\theta) = \frac{y}{L}\) This kind of diagram is useful in educational contexts for understanding the basic properties of right triangles and trigonometric functions.
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