Y is already solved because y=kt
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:
C. The United States maintains military forces in South Korea, a close ally.
Step-by-step explanation:
Answer: He is paid $90 last weekend.
Step-by-step explanation:
Since we have given that
Amount he earns per hour = $6
If he works on Saturday, he is paid time and a quarter .
Amount would be
If he works on Sunday, he is paid time and a half.
Amount would be
Number of hours he worked on Saturday = 6 hours
Number of hours he worked on Sunday = 5 hours
So, Total amount he is paid last weekend altogether is given by
Hence, he is paid $90 last weekend.
The answer to the question is a
