Please helpppp :))))
1 answer:
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Answer:
Step-by-step explanation:
slope of any line is same as the tan θ . so we first try to find the slope of the given line and then using that we can find remaining trigonometric functions .
To find the slope of a line we need to change the equation of line to slope intercept form .
2y - 5x +16 =0
move all terms to right
2y = 5x - 16
divide all by 2
y = 5/2 x - 8
compare this with y =mx+b
slope = m = 5/2
It means
tan θ = 5/2 = 2.5
tan θ = 2.50
now use the trigonometric ratios (see the image attached )
sin θ =
cos θ =
tan θ = 2.50
cot θ =
sec θ =
csc θ =
Reorganize the equations;
y -2x = -3.5
-2y+x = -14
Multiplying equation II by 2
y-2x = -3.5
-4y+2x= -28
----------------
-3y=24.5
y=
y= -8.17
Replacing value of y in equation 2;
-2(-8.17)-2x=-3.5
16.34-2x=-3.5
16.34+3.5=2x
19.84=2x
x=9.92
y -2x = -3.5
-2y+x = -14
Multiplying equation II by 2
y-2x = -3.5
-4y+2x= -28
----------------
-3y=24.5
y=
y= -8.17
Replacing value of y in equation 2;
-2(-8.17)-2x=-3.5
16.34-2x=-3.5
16.34+3.5=2x
19.84=2x
x=9.92
Here I am putting it in the picture.
