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1. what trig function has an amplitue of 1 and negative values for angles between π/2 and π?

2. what trig function never crosses the x-axis and has a value of 2 at π/6?

are these correct?

3. what trig function has a period of π and is undefined for -π/2, π/2, 3π/2...

4. what trig function has a period of 2π, is continuous, and is increasing for 0 < x < π/2?

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