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 = 6
Step-by-step explanation:
Let's solve your equation step-by-step.
6−8x=7x−10x−24
Step 1: Simplify both sides of the equation.
6−8x=7x−10x−24
6+−8x=7x+−10x+−24
−8x+6=(7x+−10x)+(−24)(Combine Like Terms)
−8x+6=−3x+−24
−8x+6=−3x−24
Step 2: Add 3x to both sides.
−8x+6+3x=−3x−24+3x
−5x+6=−24
Step 3: Subtract 6 from both sides.
−5x+6−6=−24−6
−5x=−30
Step 4: Divide both sides by -5.
−5x/-5 = -30 /-5
x=6
Answer:
Step-by-step explanation:
The exponential function looks like the following: 
.
If the function passes through the point (2, 80), then:
→ 
Solving for 'b':
→
Then, the equation of exponential function that passes through the point (2, 80) is:
Answer: 8n-4
Step-by-step explanation: Should be the answer youre looking for
Answer:
Step-by-step explanation:
Let the number of hours driven by Maggie be x and that of Alan be y
If Maggie and Alan drive for a total of 32 hours, then;
x+y = 32 ..... 1
Also if Maggie drives three times the number of hours that Alan drives on their vacation, then x = 3y ...... 2
Substitute eqn 2 into 1;
x+y = 32
3y+y = 32
4y = 32
y = 32/4
y = 8 hours
Since x = 3x
x = 3(8)
x = 24 hours
Hence Maggie drives for 24 hours and Alan drives for 8 hours
