Illustrative Math - Algebra 2 - Unit 6 -Lesson 9 - Formative Library | Biblioteka

1

Which statement is not true for the function f given by f(O)=sin(O), for values of O between 0 and 2\pi?

The outputs of the function range from -1 to 1.

sinO = 1only when O=\frac{\pi}{2}

sinO=0 only when O=0

sinO<0 for 0<O<\pi

F.BF.1.a

F.BF.1.b

+2

1

Angle O, measured in radians, satisfies cos(O)=0. What could the value of O be? Select all that apply.

F.BF.1.a

F.BF.1.b

+2

1

Which statements are true for both functions y=cos(O) and y=sin(O)? Select all that apply.

The maximum value is 1.

The function is periodic.

The function has a value of about 0.71 when O=\frac{\pi}{4}.

The maximum value occurs at O=0.

The function has a value of about 0.71 when O=\frac{3\pi}{4}.

The period of the function is 2\pi.

F.BF.1.a

F.BF.1.b

+2

1

Here is a graph of a function f.
The function f is either defined by f(O)=cos^{2}(O)+sin^{2}(O) or f(O)=cos^{2}(O)-sin^{2}(O). Which definition is correct? Explain how you know.

F.BF.1.a

F.BF.1.b

+2

1

The minute hand on a clock is 1.5 feet long. The end of the minute hand is 6 feet above the ground at one time each hour. How many feet above the ground could the center of the clock be? Select all that apply.

F.BF.1.a

F.BF.1.b

+2

1

This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/9/index.html ; accessed 29/July/2021.

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Illustrative Math - Algebra 2 - Unit 6 -Lesson 9

Illustrative Math - Algebra 2 - Unit 6 -Lesson 9

Which statement is not true for the function f given by f(O)=sin(O), for values of O between 0 and 2\pi?

Angle O, measured in radians, satisfies cos(O)=0. What could the value of O be? Select all that apply.

Which statements are true for both functions y=cos(O) and y=sin(O)? Select all that apply.

Here is a graph of a function f.The function f is either defined by f(O)=cos^{2}(O)+sin^{2}(O) or f(O)=cos^{2}(O)-sin^{2}(O). Which definition is correct? Explain how you know.

The minute hand on a clock is 1.5 feet long. The end of the minute hand is 6 feet above the ground at one time each hour. How many feet above the ground could the center of the clock be? Select all that apply.

Which statement is not true for the function f given by f(O)=sin(O), for values of O between 0 and 2\pi?

Angle O, measured in radians, satisfies cos(O)=0. What could the value of O be? Select all that apply.

Which statements are true for both functions y=cos(O) and y=sin(O)? Select all that apply.

Here is a graph of a function f.The function f is either defined by f(O)=cos^{2}(O)+sin^{2}(O) or f(O)=cos^{2}(O)-sin^{2}(O). Which definition is correct? Explain how you know.

The minute hand on a clock is 1.5 feet long. The end of the minute hand is 6 feet above the ground at one time each hour. How many feet above the ground could the center of the clock be? Select all that apply.

Here is a graph of a function f.
The function f is either defined by f(O)=cos^{2}(O)+sin^{2}(O) or f(O)=cos^{2}(O)-sin^{2}(O). Which definition is correct? Explain how you know.

Here is a graph of a function f.
The function f is either defined by f(O)=cos^{2}(O)+sin^{2}(O) or f(O)=cos^{2}(O)-sin^{2}(O). Which definition is correct? Explain how you know.