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I require some help to push me in the right direction to solve these equations.

$$t_1 = P_1\sin(A)\sin(B) + P_2\cos(A)\cos(B)$$

$$t_2 = P_3\cos(A)\sin(B) + P_4\sin(A)\cos(B)$$

where $t_1, t_2, P_1, P_2, P_3, P_4$ are known coefficients. Solving for $A$ and $B$.

Any help greatly appreciated.

This may seem like it, but this is not homework

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    I've added LaTeX formatting to your question.2011-07-14
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    thank you. looks much better now2011-07-14
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    I can actually solve a specific case here. That is if $P_{1}=P_{2}$ and $P_{3}=P_{4}$ you simply have $t_{1}= P_{1} \cdot \cos(A-B)$ and $t_{2} = P_{2}\cdot \sin(A+B)$2011-07-14
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    Perhaps it would help to think of this in terms of matrices and vectors: $$\pmatrix{P_1\sin(A) & P_2\cos(A)\\ P_3\cos(A) & P_4\sin(A)}\pmatrix{\sin(B)\\ \cos(B)}=\pmatrix{t_1\\t_2}$$2011-07-14
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    thank you, however i cannot assume P1 = P2 and P3=P42011-07-14

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