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3. What will happen if the value of the cosine function increases from 0° to 90°?

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As the angle increases from 0° to 90°, the value of the cosine function will decrease. Here's why: At 0∘0∘, the cosine function is at its maximum value of 1. As the angle increases from 0∘0∘ to 90∘90∘, the cosine function gradually decreases. At 90∘90∘, the cosine function reaches its minimum...
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As the angle increases from 0° to 90°, the value of the cosine function will decrease.

Here's why:

  1. At 0∘0, the cosine function is at its maximum value of 1.
  2. As the angle increases from 0∘0 to 90∘90, the cosine function gradually decreases.
  3. At 90∘90, the cosine function reaches its minimum value of 0.

This behavior is evident if you look at the unit circle representation of trigonometric functions. As you move counterclockwise from the initial point (1, 0) on the unit circle (corresponding to 0∘0), the x-coordinate (which represents the cosine function) decreases until it reaches 0 at 90∘90.

So, as the value of the cosine function increases from 0∘0 to 90∘90, its actual value decreases from 1 to 0.

 
 
 
 
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