Questions in trigonometry

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The period of the function $\sin \left( \frac{2x}{3} \right)+\sin \left( \frac{3x}{2} \right)$ is
Let $f(x)=\cos px+\sin x$ be periodic, then p must be
The period of the function $\sin \left( \frac{\pi x}{2} \right)+\cos \left( \frac{\pi x}{2} \right)$ is
The function $f(x)=\sin \frac{\pi x}{2}+2\cos \frac{\pi x}{3}-\tan \frac{\pi x}{4}$ is period with period
The period of the function $|\sin\pi x|$ is
The period of $f(x)=\sin \left( \frac{\pi x}{n-1} \right)+\cos \,\left( \frac{\pi x}{n} \right)\,\,,\,n\in Z$ , $n>2$ is
In a triangle ABC, $a=5,b=7$ and $\sin A=\frac{3}{4}$ how many such triangles are possible
If in a triangle $ABC,$ $(s-a)(s-b)=s\,\,(s-c)$ , then angle C is equal to
In a $\Delta ABC$ , if $2s=a+b+c$ and $(s-b)(s-c)=$ $x{{\sin }^{2}}\frac{A}{2},$ then $x =$
If the angles of a triangle $ABC$ be in A.P., then

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