The original motivation for choosing the degree as a unit of rotations
and angles is unknown. One theory states that it is related to the fact
that 360 is approximately the number of days in a year.[5] Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day
For the first one it’s subtraction property of equality
Answer:
the answer is the letter a) -sin x
Step-by-step explanation:
Simplify the expression.
sine of x to the second power minus one divided by cosine of negative x
(1−sin2(x))/(sin(x)−csc(x))
sin2x+cos2x=11−sin2x=cos2x
cos2(x)/(sin(x)−csc(x))csc(x)=1/sin(x)cos2(x)/(sin(x)− 1/sin(x))= cos2(x)/((sin2(x)− 1)/sin(x))sin2(x)− 1=-cos2(x)cos2(x)/(( -cos2(x))/sin(x))
=-sin(x)
The formula that explain the arithmetic sequence is 
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵
,
, 0 ,
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms =
- 
∴ The difference between two consecutive terms =
+
= 
∴ The common difference = 
∴ d = 
∵ The first term is 
∴ a = 
- Substitute a and d in the formula above
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴ 
The formula that explain the arithmetic sequence is 
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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