First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
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Answer:
Option A , should not be rejected
Step-by-step explanation:
From the question we are told that:
Sample 1 
Standard deviation 1 
Sample 2 
Standard deviation 2 
Level of confidence 
Generally The Hypothesis are given as


Generally the equation for test Statistics is mathematically given by



Therefore
Critical Value


Where

Therefore


From Table


Therefore

Hence,We fail to reject the Null Hypothesis 
Option A , should not be rejected
If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).
Bozeman = 27,509·1.0196^t
Butte = 32,370·0.9971^t
where t is the number of years after 1990.
What’s the figure I couldn’t see anything here.