Question

Cos+cos= ?

Answer 1

cos π + cos π/2 = -1 + 0 = -1

Answer 2

The sum of two cosine functions is not simply another cosine function. When you add two cosine functions with different frequencies or phases, you get a new function with a more complex waveform.

The general form of a cosine function is:

y = A * cos(B * x + C)

where:

• A represents the amplitude of the cosine wave,
• B is the frequency (number of cycles per unit of x),
• C is the phase shift.

If you want to add two separate cosine functions, let's say:

y1 = A1 * cos(B1 * x + C1) y2 = A2 * cos(B2 * x + C2)

The sum of these two functions would be:

y_sum = y1 + y2 y_sum = A1 * cos(B1 * x + C1) + A2 * cos(B2 * x + C2)

This sum would not simplify to a single cosine function, and the resulting waveform would depend on the specific values of A1, B1, C1, A2, B2, and C2.

If you have specific values for A1, B1, C1, A2, B2, and C2, you can calculate the numerical result for the sum of the two cosine functions using any mathematical software or calculator.