Plz help will mark brainliest if correct answer
1 answer:
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Answer:
cosФ = , sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ =
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =
- sinФ =
- tanФ =
- secФ =
- cscФ =
- cotФ =
- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r =
∵ x = 1 and y = -8
∴ r =
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ =
∴ cosФ =
∵ sinФ =
∴ sinФ =
∵ tanФ =
∴ tanФ = = -8
∵ secФ =
∴ secФ = =
∵ cscФ =
∴ cscФ =
∵ cotФ =
∴ cotФ =
Answer: The correct option is
(D) The sequence is not arithmetic because the terms do not have a common difference.
Step-by-step explanation: We are given to select the true statement regarding the sequence that is graphed in the figure.
From the graph, we see that some of the points are (1, 1), (2, 4), (3, 9), (4, 16), (5, 25).
That is, if we write the graphed points in terms of a sequence <a(n)>, then we get
The sequence <a(n)> will be arithmetic if the difference between the consecutive terms is equal. That is, the terms should have a common difference.
Now,
This implies that the terms do not have a common difference and so the graphed function does not represent an arithmetic sequence.
Thus, the sequence is not arithmetic because the terms do not have a common difference.
Option (D) is CORRECT.