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(B) To determine if the statement is true or false,let us evaluate the values of $\cos 	heta$ for different angles $	heta$ in the interval $0^{\circ

Vedclass · Accepted Answer

False

Vedclass · Answer

(B) To determine if the statement is true or false,let us evaluate the values of $\cos 	heta$ for different angles $	heta$ in the interval $0^{\circ} \leq 	heta \leq 90^{\circ}$:$\cos 0^{\circ} = 1$$\cos 30^{\circ} = \frac{\sqrt{3}}{2} \approx 0.866$$\cos 45^{\circ} = \frac{1}{\sqrt{2}} \approx 0.707$$\cos 60^{\circ} = \frac{1}{2} = 0.5$$\cos 90^{\circ} = 0$As $	heta$ increases from $0^{\circ}$ to $90^{\circ}$,the value of $\cos 	heta$ decreases from $1$ to $0$.Therefore,the given statement is false.

State whether the following is true or false. Justify your answer.
The value of $\cos \theta$ increases as $\theta$ increases.

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State whether the following is true or false. Justify your answer.The value of $\cos \theta$ increases as $\theta$ increases.