<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude and n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
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<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
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3. tan (2π/3) = tan 120° = -√3
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
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4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>
The total amount is 0.75 inches or 3/4 inches.
Answer:
c and e
Step-by-step explanation:
he cant get 2 and there are 8 cards and only one of them is a one
Answer:
5 meters
Step-by-step explanation:
The area of a square is found by multiplying 2 sides.
If we already have the area, we can take the square root of it to find a side.
√25= 5
All of the sides of a square are the same, therefore each side of the garden is 5 meters long!
Answer:
241904.9483
≈ 241905
Step-by-step explanation:
Given that,
current amount of house = 180,000
value of the home increases at a rate of 3% per year
To find,
approximate value of the home after 10 years using exponential function
<h2>Equation</h2><h2>a(1 + r)^t</h2>
where a is the amount of house = 180,000
r is the interest rate per annum = 3% = 3/100 = 0.03
t is the number of years = 10
180,000 (1+0.03)^10
180,000 (1.03)^10
241904.9483
≈ 241905
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