What is the domain of the cosine function?
Graph of Inverse Functions
Interactive Video
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Mathematics
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9th - 12th Grade
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Hard
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The video tutorial covers the inverse trigonometric functions: sine, cosine, cosecant, secant, tangent, and cotangent. It explains their domains, ranges, and how to find their inverses by restricting domains. The concept of principal value branches is introduced, highlighting the unique intervals where these functions are one-to-one and onto. Graphical representations and examples are provided to illustrate these concepts.
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4 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
Why is the cosine function also not one-to-one?
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
What is the principal value branch of the cosine inverse function?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
Explain the significance of the principal value in inverse trigonometric functions.
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