the value of sin ∅ is 12/ 13
<h3>Quadrants and the "cast" Rule:</h3>
- In the first quadrant, the values for sin, cos, and tan are positive.
- In the second quadrant, the values for sin are positive only.
- In the third quadrant, the values for tan are positive only.
- In the fourth quadrant, the values for cos are positive only.
From the given question,
We have, cos ∅= 5/13
From the trigonometric identities, we have that

Then , let's substitute the value of cos ∅

Let make sin the subject of formula and find the squares of the fraction
sin²∅ = 
Find the LCM
sin²∅ = 
Find the difference
sin²∅ = 
Find the square root
sin∅ = 
sin∅ = 
In quadrant II , sin is positive, so we have
sin ∅ = 12/ 13
Thus, the value of sin ∅ is 12/ 13
Learn more about quadrant here:
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Answer:
2x+7+y=0 -7
2x+y=-7 -2x
y=-2x-7
Step-by-step explanation:
not sure
Answer:
Its D
Step-by-step explanation:
The brackets show tht 3 is multiplied with 7 AND M.
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3x² - 8x > 11
3x² - 8x - 11 > 11 - 11
3x² - 8x - 11 > 0
x > <u>-(-8) +/- √((-8)² - 4(3)(-11))</u>
2(3)
x > <u>8 +/- √(64 + 132)</u>
6
x ><u> 8 +/- √(196)
</u> 6
x > <u>8 +/- 14</u>
6
x > <u>8 + 14</u> x > <u>8 - 14</u>
6 6
x > <u>20</u> x > <u>-6</u>
6 6
x > 3.33 x > -1
<u />
N + (n+2) + (n+4) = 30
3n+6=30
n+2=10
n=8