Step 1: Convert
, which is in radians into degrees. To convert it multiply by 

900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 = 
cos30 =
Step 3: Add the cos45 and cos30 to get cos5pi/12

Hope this helped!
Answer:
Integers: 32,33,34,35
Step-by-step explanation:
Consecutive means back-to-back, with a difference of 1
Therefore this can be represented with the following equation (where x is the first number), and we can set this equal to the sum

Therefore since x = 32, all four integers are:

If we check this, we can see that their sum equals to 134

Hope this helps!
Answer:
<u><em>x = 16</em></u>
Step-by-step explanation:
<em>(x + 1)² = (x - 3)² + 120</em>
<em>x² + 2x + 1 = x² - 6x + 9 + 120</em>
<em>8x = 128</em>
<em>x = 16</em>
Answer:
opposite
Step-by-step explanation:
12 and -12 are opposite.