Answer:
cos(α2)= −1/5√2
Step-by-step explanation:
you are given tan(α)=7/24 , so you can find the length of the hypotenuse using the Pythagorean theorem, which is a2+b2=c2 with a and b being the legs of the triangle and c being the hypotenuse of the triangle.
c2=7^2+24^2
⟹c2=49+576
⟹c2=625
⟹c=25
if π<α<3π/2 , then α has to lie in quadrant III where cosine is negative. so cos(α)= −24/25
The half-angle identity for the cosine function is cos(α2)=±√1+cos(α)/2 , so plugging the information in, we get
cos(α2)=±√ 1+(−24/25)/2
⟹
cos(α2)=±√1/25 / 2
⟹cos(α2)=±√1/50
⟹cos(α2)=±1/5√2
Answer:
1. -4
<h2> 2(12,35,37). hope helpful answer</h2>
Answer:
40%
Step-by-step explanation:
Number of blocks shaded = 2
Total blocks = 5
Percentage: 2 ÷ 5 × 100
= 40 %
<h3>
Answer: Q = 8</h3>
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Explanation:
The left hand side of the first equation is x-3y
The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y
If we multiply both sides of the first equation by 2, we get
x-3y = 4
2(x-3y) = 2*4
2x-6y = 8
Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.
We can say each solution is in the set {(x,y): x-3y = 4}
Which is the same as saying each solution is of the form (3y+4,y)