<span><span>(<span><span><span><span>10<span>x5</span></span><span>y12</span></span><span>−5</span></span><span>x<span>−2</span></span></span>)</span><span>(<span>y6</span>)</span></span><span>=<span><span>−<span><span>2<span>x5</span></span><span>y18</span></span></span><span>x2</span></span></span><span>=<span>−<span><span>2<span>x3</span></span><span>y<span>18</span></span></span></span></span>
Recall that
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that
cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2
and
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2
Answer:
x = 3.8
Step-by-step explanation:
The equation is (5 - x) / 2 = 2x - 7
Multiply both sides by 2:
5 - x = 4x - 14
Add 14 to both sides:
19 - x = 4x
Add x to both sides:
19 = 5x
Divide both sides by 5 to isolate x:
3.8 = x
Therefore, x = 3.8.