Derive Eqs (13) and (14) in the text as follows Write the coordinates of P with respect to the rotated axes in Figure 21 in polar form x r cos , y r sin Explain why P has polar coordinates (r, ) with respect to the standard x and y axes, and derive Eqs (13) and (14) using the addition formulas for ...

If the polar coordinates of P with respect to the rotated axes are r ...

Derive Eqs. (13) and (14) in the text as follows. Write the coordinates of P with respect

Question:

Derive Eqs. (13) and (14) in the text as follows. Write the coordinates of P with respect to the rotated axes in Figure 21 in polar form x̃ = r cos α, ỹ = r sin α. Explain why P has polar coordinates (r, α + θ) with respect to the standard x- and y-axes, and derive Eqs. (13) and (14) using the addition formulas for cosine and sine.

r=2 + sin 20 r=2+ cos 20