The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x .
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer:
The range of the oven is 
Step-by-step explanation:
Consider the provided information.
The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.
You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.
The internal temperature falls to 20 degrees, therefore the lowest set can be:
405-20=385 degree.
The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.
Hence, the temperature will be lying between 385 degree and 410 degree.
This can be written as: 
Hence, the range of the oven is 
Answer:
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Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2