Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.
<h3>What is a cosine?</h3>
Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.
Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,
cos(x) = -(√3)/2
(x) = cos⁻¹ [-(√3)/2]
x = 5π/6 = 150°
Now, the value of cos(x+π) will be,
cos(x+π)
= cos[(5π/6)+π]
= cos(11π/6)
= √3 / 2
Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.
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Answer:
x = 3; y = 6; z =4
Step-by-step explanation:
The point J is the circumcentre of the triangle.
It is equidistant from the vertices. So
2x + 2 = 8
2x = 6
x = 3
2y - 4 = 8
2y = 12
y = 6
If FI = 9, HI = 9. Then,
3z - 3 = 9
3z = 12
z = 4
So, x = 3; y = 6; z =4.
He will receive 24 pounds of candy.
thats a lot o.O
KL + JK = 27
6x + 3x = 27
9x = 27
x = 27/9
x = 3
KL = 6x
KL = 6 × 3
KL = 18
Let S, M, L represent the shortest, mid-length, and longest sides, respectively. You are given three bits of information.
.. S +M +L = 14.5 cm
.. L = 2S
.. L = 6.2 cm
You can use an equation something like this to find the middle-length side.
.. (6.2 cm)/2 +M +6.2 cm = 14.5 cm
.. M +9.3 cm = 14.5 cm . . . . . . . . . . . . . constant terms collected
.. M = 5.2 cm . . . . . . . . . . . . . . . . . . . . . subtract 9.3 cm
Now, you know the side lengths are 3.1 cm, 5.2 cm, 6.2 cm.
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You have not offered any choices for "which equation," so take your pick of those used here.
