Multiple choice

If in a right angled triangle $ABC$; $\displaystyle\angle C=90^{\circ}$ and $\displaystyle \tan A=\frac{3}{4}\, then\, \cot B$ is

  1. $\displaystyle \frac{3}{5}$
  2. $\displaystyle \frac{3}{4}$
  3. $\displaystyle \frac{4}{5}$

  4. t
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a right triangle ABC with C=90, A+B=90. tan A = 3/4 means the sides opposite to A and B are 3 and 4. cot B = adjacent/opposite = 3/4.

AI explanation

In a right-angled triangle, angles A and B are complementary because angle C is 90 degrees. Therefore, tan A equals cot B by the complementary angle identity. Given that tan A is 3 over 4, cot B must also equal 3 over 4.

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