Multiple choice

The value of $\displaystyle \frac { \cot { { 50 }^{ o } } }{ \tan { { 40 }^{ o } } } $ is :

  1. $0$
  2. $1$
  3. $2$
  4. $3$
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B Correct answer
Explanation

cot(50) = tan(90 - 50) = tan(40). Therefore, tan(40) / tan(40) = 1.

AI explanation

Using the complementary angle identity, cot 50 degrees equals tan(90 degrees minus 50 degrees), which is tan 40 degrees. Substituting this into the expression gives tan 40 degrees divided by tan 40 degrees. The division yields 1.

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