<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
</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
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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
</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
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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:
corresponding angles because it is in a F pattern shape
always corresponding angle is denoted from F pattern and its sum is always equal
Answer:
is the last one
Step-by-step explanation:
the line is dotted and shaded above
4x (-2s+4x^2)
is an multiplication expression
Answer: <em>n </em>-<em> 4 = -15</em>
<em>n </em>= -11
Step-by-step explanation:
If -15 is the same as 4 less than <em>n, </em>that means that <em>n </em>- 4 = -15
Then you add 4 to each side of the equation to get <em>n </em>by itself. (-15 + 4 = -11)
That step leaves you with <em>n</em> = -11
