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Anettt [7]
4 years ago
5

Verify sin(180-theta)=sin(theta) (SHOW WORK)

Mathematics
1 answer:
Kobotan [32]4 years ago
4 0

Answer:

see the explanation

Step-by-step explanation:

we know that

sin(A-B)= sinAcosB-cosAsinB

we have

A=180\°\\ B=\theta

so

sin(180\°-\theta)= sin(180\°)cos(\theta)-cos(180\°)sin(\theta)

Remember that

sin(180\°)=0

cos(180\°)=-1

substitute

sin(180\°-\theta)= (0)cos(\theta)-(-1)sin(\theta)

sin(180\°-\theta)=sin(\theta) ----> is verified

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