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

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.b

F.IF.7.a

F.BF.1.a

F.BF.1.c

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

F.BF.1.b

F.IF.7.a

F.BF.1.a

F.BF.1.c

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

The period of the function is 2\pi.

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

The maximum value is 1.

The maximum value occurs at O=0.

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

The function is periodic.

F.BF.1.b

F.IF.7.a

F.BF.1.a

F.BF.1.c

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.b

F.IF.7.a

F.BF.1.a

F.BF.1.c

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.b

F.IF.7.a

F.BF.1.a

F.BF.1.c

10.

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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