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1 mark

If
1−tanAtanB
tanA+tanB
​
=x, then the value of x is:

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

Solution & Step-by-step Explanation

According to the standard trigonometric addition formula:
tan(A+B)=
1−tanAtanB
tanA+tanB
​

Therefore, x=tan(A+B).

Practice this question

Try it yourself before checking the explanation above.

If
1−tanAtanB
tanA+tanB
​
=x, then the value of x is:
A
tan(A+B)
B
tan(A−B)
C
cot(A+B)
D
cot(A−B)

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