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Multiple choice

Value of $\displaystyle \frac{3+\cot 80^{\circ}\cot 20^{\circ}}{\cot 80^{\circ}+\cot 20^{\circ}}$ is equal to

  1. $\cot 20^{\circ}$
  2. $\tan 50^{\circ}$
  3. $\cot 50^{\circ}$
  4. $\cot\sqrt{20^{\circ}}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using cot(A+B) = (cotA cotB - 1) / (cotA + cotB), we can manipulate the expression. The expression simplifies to tan(50 degrees).

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