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1 mark

If
cotB−cotA
cotAcotB+1
​
=x, then the value of x is:

  1. A
    cot(A+B)
  2. B
    cot(A−B)
  3. C
    tan(A−B)
  4. D
    tan(A+B)

Solution & Step-by-step Explanation

By standard trigonometric identity, the formula for the cotangent of the difference of two angles is:
cot(A−B)=
cotB−cotA
cotAcotB+1
​

Comparing this with the given expression:

x=cot(A−B)

Practice this question

Try it yourself before checking the explanation above.

If
cotB−cotA
cotAcotB+1
​
=x, then the value of x is:
A
cot(A+B)
B
cot(A−B)
C
tan(A−B)
D
tan(A+B)

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Trigonometric IdentitiesTrigonometry

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