Derive the given equations. The coordinates of P with respect to the rotated axes in the given figure in polar form x ˜ = r cos α , y ˜ = r sin α If P has polar coordinates ( r , α + θ ) with respect to the standard x -axes and y -axes. Also, derive the equations using the addition formulas for cosine and sine.

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Answer 1

Question

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

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Answer 2

Question

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

Expert Solution & Answer

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See solution

Answer 5

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

Answer 6

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

Answer 7

Chapter 12.5, Problem 77E

To determine

Derive the given equations.

The coordinates of $P$ with respect to the rotated axes in the given figure in polar form $\tilde{x} = r \cos α, \tilde{y} = r \sin α$

If P has polar coordinates $(r, α + θ)$ with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 12.1 - Prob. 1PQ Ch. 12.1 - Prob. 2PQ Ch. 12.1 - Prob. 3PQ Ch. 12.1 - Prob. 4PQ Ch. 12.1 - Prob. 5PQ Ch. 12.1 - Prob. 6PQ Ch. 12.1 - Prob. 7PQ Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

Solution Summary: The author explains how the given equations are derived using the addition formulas for cosine and sine.

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Chapter 12 Solutions

Solution Summary: The author explains how the given equations are derived using the addition formulas for cosine and sine.

Derive the given equations. The coordinates of P with respect to the rotated axes in the given figure in polar form x˜=rcosα,y˜=rsinα If P has polar coordinates (r,α+θ) with respect to the standard x-axes and y-axes. Also, derive the equations using the addition formulas for cosine and sine.

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Chapter 12 Solutions