Thread: Linear combinations

The graph of y = cos (x - 1.3) is a sinusoid with a phase displacement of 1.3 radians.
Given that cos 1.3 ≈ 0.27 and sin 1.3 ≈ 0.96, write y as a linear combination of cos x and sin x.

My responce:



I'm new to linear equations so I want to make sure I'm doing this correctly...

Originally Posted by wiseguy

The graph of y = cos (x - 1.3) is a sinusoid with a phase displacement of 1.3 radians.
Given that cos 1.3 ≈ 0.27 and sin 1.3 ≈ 0.96, write y as a linear combination of cos x and sin x.

My responce:



I'm new to linear equations so I want to make sure I'm doing this correctly...

Looks ok to me. However, you haven't made use of the given values of of cos and sin for the argument 1.3. So the expected answer seems to be: