<span>1. a sine curve with amplitude 2, and period 4pi radians
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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
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∴ 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
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<span>comparing with y = a cos nθ
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where : a is the amplitude and n = 2π/period
<span>amplitude = 5 , period = 2π/n = 2π/2 = π
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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
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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>
Answer:
r=4 d=8 a = 16π c = 8π
d=6 r=3 a=9π c=6π
a=36π r=6 d=12 c=12π
c=18π r=9 d=18 a=81π
Step-by-step explanation:
hope this helps (:
Answer:
1
Step-by-step explanation:2 and 6 are the first ones in each set so 6-2 is 4.4 and 1 are the second ones in each set 1-4 is -3 4+-3 is 1.
Answer:
95
because what is 95 times 10.8 if you multiply that you will get 1026
Also you get 95 by dividing 1026 by 10.8
Answer:
Step-by-step explanation:
a. We know that KH is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:
Hence, the angle a is equal to 180°
b.We know that GJ is a diameter of the circle and that along angles along it on either side adds up to 180° as it's a straight line.
-Therefore, we have that:
Hence, the angle b is equal to 35°
