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Anettt [7]
3 years ago
11

Complete the identity

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer: cos(\pi-x)=-cos(x)

Step-by-step explanation:

We need to apply the following identity:

cos(A - B) = cos A*cos B + sinA*sin B

Then, applying this, you know that for cos(\pi-x):

cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)

We need to remember that:

cos(\pi)=-1 and sin(\pi)=0

Therefore, we need to substitute these values into cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x).

Then, you get:

cos(\pi-x)=(-1)*cos(x)+0*sin(x)

cos(\pi-x)=-1cos(x)+0

cos(\pi-x)=-cos(x)

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