Trigonometric Ratios and Identities
Quick practice
Question 1 of 5
The range of 
is
A
![\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]](data:image/png;base64,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)
B
C
![[0, \pi]-\left\{\frac{\pi}{2}\right\}](data:image/png;base64,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)
D
![[0, \pi]](data:image/png;base64,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){kind=small}
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