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:
C
Step-by-step explanation:
Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees
Answer:
x² = 8 - (y - 8)² - 2x
x² = 16y - y² - 2x - 56
Step-by-step explanation:
∵ (x + 1)² + (y - 8)² = 9
∵ x² + 2x + 1 = 9 - (y - 8)²
∴ x² = 9 - (y - 8)² - 2x - 1
∴ x² = 8 - (y - 8)² - 2x
OR:
∵ x² = 8 - (y² -16y + 64) - 2x
∴ x² = 8 - y² + 16y - 64 - 2x
∴ x² = 16y - y² - 2x - 56
Is there supposed to be an x before 4x?
Answer: 13.69
Step-by-step explanation:
Multiply 82.14 by 100 to make it a whole number; since you're modifying the number, you must also multiply 6 by 100 in order to keep it balanced.
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Let's begin.
8214/600=13.69
600
----------
221'4
1800
--------
414'0
3600
--------------
540'0
5400
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