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If in a triangle ABC, A and B are complementary, then tan C is
  • a)
  • b)
    0
  • c)
    1
  • d)
    √3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If in a triangle ABC, A and B are complementary, then tan C isa)&infin...
Given A and B are complementary angles then ∠A + ∠B = 90 (i)
and in ∆ABC ∠A + ∠B + ∠C = 180 (ii)
From (i) and (ii) ∠C = 90
∴ tan ∠C = tan 90 = ∞
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Community Answer
If in a triangle ABC, A and B are complementary, then tan C isa)&infin...
If angle A and angle B in triangle ABC are complementary, it means that their sum is 90 degrees.

Since the sum of the angles in a triangle is always 180 degrees, we can write:

A + B + C = 180

Since A + B = 90, we can substitute this into the equation:

90 + C = 180

Simplifying, we find:

C = 90

So, angle C is equal to 90 degrees.

Now, let's find the tangent of angle C:

tan(C) = tan(90)

The tangent of 90 degrees is undefined. Therefore, the answer is undefined.
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