Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer: 20 cups :DD
Step-by-step explanation:
Step-by-step explanation:
AC=AB+BC-cos. AC=100+66-cos. AC=166-0.906. AC=√165.094. AC=12.8
Answer:
so 2x+3x+130=180
so 5x+130=180
5x=50
so 2x =20
3x which is angle a is equal to 30 degree