Equivalent Sinusoidal Functions

Equivalent Sinusoidal Functions (Radians)

5 Activities

Wize High School Algebra II Textbook (Common Core) > Trigonometric (Sinusoidal) Graphs

Equivalent Sinusoidal Functions (Radians)

5 Activities

Practice: Equivalent Sinusoidal Functions

Choose which of the following are functions that describe the following graph:

A) y=−2sin⁡(2(θ−2π3))+1y=-2\sin\Bigg(2\Big(\theta-\displaystyle\frac{2\pi}{3}\Big)\Bigg)+1y=−2sin(2(θ−32π​))+1   

B) y=2sin⁡(2(θ+π3))+1y=2\sin\Bigg(2\Big(\theta+\displaystyle\frac{\pi}{3}\Big)\Bigg)+1y=2sin(2(θ+3π​))+1   

C) y=2cos⁡(2(θ−π12))+1y=2\cos\Bigg(2\Big(\theta-\displaystyle\frac{\pi}{12}\Big)\Bigg)+1y=2cos(2(θ−12π​))+1   

D) y=2cos⁡(2(θ−13π12))+1y=2\cos\Bigg(2\Big(\theta-\displaystyle\frac{13\pi}{12}\Big)\Bigg)+1y=2cos(2(θ−1213π​))+1 

 y=2cos⁡(2(θ+π12))+1y=2\cos\Bigg(2\Big(\theta+\displaystyle\frac{\pi}{12}\Big)\Bigg)+1y=2cos(2(θ+12π​))+1 

y=2sin⁡(2(θ−5π6))+1y=2\sin{\Bigg(2\Big(\theta-\displaystyle\frac{5\pi}{6}\Big)\Bigg)}+1y=2sin(2(θ−65π​))+1 

I don't know

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Equivalent Sinusoidal Functions

Practice: Equivalent Sinusoidal Functions
True or False? 
−2cos⁡(3(θ−π9))+1=−2sin⁡(3(θ−5π18))+1-2\cos\Bigg(3\Big(\theta-\displaystyle\frac{\pi}{9}\Big)\Bigg)+1=-2\sin\Bigg(3\Big(\theta-\displaystyle\frac{5\pi}{18}\Big)\Bigg)+1−2cos(3(θ−9π​))+1=−2sin(3(θ−185π​))+1

Equivalent Sinusoidal Functions

Write an expression that is equivalent to each of the following using the cofunction identity:
cos⁡(π7)\cos{\Bigg(\displaystyle\frac{\pi}{7}\Bigg)}cos(7π​)
sin⁡(2π5)\sin{\Bigg(\displaystyle\frac{2\pi}{5}\Bigg)}sin(52π​)

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Equivalent Sinusoidal Functions

Practice: Equivalent Sinusoidal Functions
True or False? 
−2cos⁡(3(θ−π9))+1=−2sin⁡(3(θ−5π18))+1-2\cos\Bigg(3\Big(\theta-\displaystyle\frac{\pi}{9}\Big)\Bigg)+1=-2\sin\Bigg(3\Big(\theta-\displaystyle\frac{5\pi}{18}\Big)\Bigg)+1−2cos(3(θ−9π​))+1=−2sin(3(θ−185π​))+1

Equivalent Sinusoidal Functions

Write an expression that is equivalent to each of the following using the cofunction identity:
cos⁡(π7)\cos{\Bigg(\displaystyle\frac{\pi}{7}\Bigg)}cos(7π​)
sin⁡(2π5)\sin{\Bigg(\displaystyle\frac{2\pi}{5}\Bigg)}sin(52π​)

Equivalent Sinusoidal Functions

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Equivalent Sinusoidal Functions (Radians)

Equivalent Sinusoidal Functions (Radians)

Practice: Equivalent Sinusoidal Functions

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Equivalent Sinusoidal Functions

Equivalent Sinusoidal Functions

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Equivalent Sinusoidal Functions

Equivalent Sinusoidal Functions