Write the function in terms of the cofunction of a complementary angle.
$\cot \frac{π}{12}$
$\cot \frac{π}{12} = ◻ (Simplify your answer.)$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $\cot \frac{π}{12} = \tan \frac{5 π}{12} = 3.732$

Steps

Step 1 ：Write the function in terms of the cofunction of a complementary angle.

Step 2 ：The cotangent function is the reciprocal of the tangent function.

Step 3 ：The complementary angle of $\frac{π}{12}$ is $\frac{π}{2} - \frac{π}{12} = \frac{5 π}{12}$ .

Step 4 ：Therefore, $\cot (\frac{π}{12})$ is equivalent to $\tan (\frac{5 π}{12})$ .

Step 5 ：Final Answer: $\cot \frac{π}{12} = \tan \frac{5 π}{12} = 3.732$