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Sine function over unit intervals

True or false : The sine function is an even function.

True or false : The sine function has period 2π.2\pi.

Select the interval on which  f(x)=sinsinx2f(x)=\sin\sin\frac{x}{2}  is increasing?

Select the interval on which g(x)=sinsin2xg(x)=\sin\sin2x  is decreasing?

True or false : The sine function is symmetric on the origin.

At what quadrant does the graph of f(x)=sinx  lies if  π<x<2π ?f(x)=\sin x\ \ lies\ if\ \ \pi<x<2\pi\ ?

Select the interval on which  g(x)=sinsin2xg(x)=\sin\sin2x  is increasing?

Select the interval on which f(x)=5+sinsinx2f(x)=5+\sin\sin\frac{x}{2}   is decreasing?

Select the interval on which  f(x)=sinsinxf(x)=\sin\sin x  is increasing?

1. Select the interval on which f(x)=sinsinx3f(x)=\sin\sin\frac{x}{3}  is increasing?