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Which of the various ways of orienting the definitional triangle must be used to resolve n⃗ into components in the tilted coordinate system shown? (in the figures, the hypotenuse is blue (long dashes), the side adjacent to θ is red (short dashes), and the side opposite is yellow (solid).)?

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Kalahira
The answer picture 4. So the first step is to figure out the sines and cosines of theta (along with their signs in perspective). The next step is to find the trigonometric functions based on the results of first step. Sine and cosine are defined according to the following convention, with the key lengths shown in green: The hypotenuse has unit length, the side adjacent to has length , and the side opposite has length.

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