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Sin, cos, and tan of special angles

Full solution

Q. https://lms.alphastar.academy/pluginfile.php/

120331

/question/questiontext/

499521

/

5

/

192459

/

00

-1041

-188

_Statement.png?time=

1642071553777

Identify angle on unit circle: Identify the angle on the unit circle. $\newline$ Since $\cos(\theta)$ represents the x-coordinate of a point on the unit circle for an angle $\theta$ , we need to find the x-coordinate for $90^\circ$ .
Locate point on circle: Locate the point on the unit circle corresponding to $90°$ . $\newline$ At $90°$ , the point on the unit circle is $(0, 1)$ .
Determine value of $\cos90°$ : Determine the value of $\cos90°$ . $\newline$ Since the x-coordinate of the point $(0, 1)$ is $0$ , $\cos90° = 0$ .

More problems from Sin, cos, and tan of special angles

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Marco's class is painting a mural on the side of their school. The mural covers a

3 \frac{1}{2} \mathrm{~m}

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What is the length of the mural?

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Question

A cup of hot coffee has been left to cool in a room with an ambient temperature of

21^{\circ} \mathrm{C}

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The relationship between the elapsed time,

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T

{ }^{\circ} \mathrm{C}

, is modeled by the following function.

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T(m)=21+74 \cdot 10^{-0.03 m}

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What will the temperature of the coffee be after

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Round your answer, if necessary, to the nearest hundredth.

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{ }^{\circ} C

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Takumi plants a tree in his backyard and studies how the number of branches grows over time.

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He predicts that the relationship between

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N=5 \cdot 10^{0.3 t}

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g(x)=2^{x}

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Can we use the mean value theorem to say the equation

g^{\prime}(x)=16

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3<x<5

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1

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(B) No, since the average rate of change of

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(C) Yes, both conditions for using the mean value theorem have been met.

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\frac{d y}{d t}=2 t+3 \text { and } y(1)=6

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t

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Choose all answers that apply:

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t=-3

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