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>
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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:
(f - g)(2) = 11
Step-by-step explanation:
f(x) = 3² + 1
g(x) = 1 - x
(f - g)(2) = f(2) - g(2)
f(2) = 9 + 1 = 10
g(2) = 1 - 2 = -1
10 - (-1) = 10 + 1 = 11
(f - g)(2) = 11
Answer: y = -x + 2
Step-by-step explanation:
When x=0, y = 2
When y=0, x = 2
Hope this helps!
Answer:
see below
Step-by-step explanation:
Part A
Angles 1 and 5 are alternate angles (z angles), which means they are equal.
Similarly, angles 3 and 6 are alternate (z angle), which means they are equal.
Part B
Angles on a straight line add up to 180°.
