Trigonometrymedium · Past Paper

Which of the following is equivalent to cot(A - B)?

A(cot A cot B + 1) / (cot B - cot A)
B(cot A cot B - 1) / (cot B + cot A)
C(cot A + cot B) / (1 - cot A cot B)
Dcot A - cot B

✓ Correct Answer: A(cot A cot B + 1) / (cot B - cot A)

This is the standard expansion for the cotangent of the difference of two angles.

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