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(1 + COS X/1 – COS X) - (1 - COS X/1 + COS X) = 4 cot x CSC X

User Yaplex
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Answer:

1 + cosx - 1 - cosx

1-cosx 1+cosx

Multiplying by conjugate

1 + cosx * 1+cosx - 1 - cosx * 1-cosx

1-cosx 1+cosx 1+cosx 1 -cosx

(1+cosx)² - (1-cosx)²

1- cos²x 1- cos²x

1 + 2cosx + cos²x -(1 - 2cosx + cos²x)

1-cos²x

4cosx = 4 cosx . 1 4 cotx cosecx

sin²x sinx sinx

Explanation:

User Mgsdew
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