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In the fourth quadrant the value of cosine function
- a)Decreases from 0 to -1
- b)Increases from – ∞ to 0.
- c)Decreases from 1 to 0
- d)Increases from 0 to 1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the fourth quadrant the value of cosine functiona)Decreases from 0 ...
As the angle increases from 270° to 360°, the sine increases from -1 to 0. As the angle increases from 270° to 360°, and the value of cos 270° = 0
and cos 360° = 1
So, the cosine increases from 0 to +1.
and cos 360° = 1
So, the cosine increases from 0 to +1.
Most Upvoted Answer
In the fourth quadrant the value of cosine functiona)Decreases from 0 ...
As the angle increases from 270° to 360°, the sine increases from -1 to 0. As the angle increases from 270° to 360°, and the value of cos 270° = 0
and cos 360° = 1
So, the cosine increases from 0 to +1.
and cos 360° = 1
So, the cosine increases from 0 to +1.
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In the fourth quadrant the value of cosine functiona)Decreases from 0 ...
Explanation:
Cosine Function in the Fourth Quadrant:
In the fourth quadrant of the coordinate plane, the x-coordinate is positive while the y-coordinate is negative. This means that the cosine function in the fourth quadrant will always have a positive x-value and a negative y-value.
Behavior of Cosine Function:
The cosine function is a periodic function that oscillates between -1 and 1. As we move from the fourth quadrant towards the origin (where x=0), the value of the cosine function increases from 0 to 1.
Specifically in the Fourth Quadrant:
In the fourth quadrant, the cosine function starts at 0 (when x-axis is reached) and as we move towards the y-axis, the value of the cosine function increases from 0 to 1.
Therefore, in the fourth quadrant, the cosine function increases from 0 to 1.
Therefore, the correct answer is option 'D' - Increases from 0 to 1.
Cosine Function in the Fourth Quadrant:
In the fourth quadrant of the coordinate plane, the x-coordinate is positive while the y-coordinate is negative. This means that the cosine function in the fourth quadrant will always have a positive x-value and a negative y-value.
Behavior of Cosine Function:
The cosine function is a periodic function that oscillates between -1 and 1. As we move from the fourth quadrant towards the origin (where x=0), the value of the cosine function increases from 0 to 1.
Specifically in the Fourth Quadrant:
In the fourth quadrant, the cosine function starts at 0 (when x-axis is reached) and as we move towards the y-axis, the value of the cosine function increases from 0 to 1.
Therefore, in the fourth quadrant, the cosine function increases from 0 to 1.
Therefore, the correct answer is option 'D' - Increases from 0 to 1.
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In the fourth quadrant the value of cosine functiona)Decreases from 0 to -1b)Increases from – ∞ to 0.c)Decreases from 1 to 0d)Increases from 0 to 1Correct answer is option 'D'. Can you explain this answer?
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