Questions in trigonometry

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If $A={{\cos }^{2}}\theta +{{\sin }^{4}}\theta ,$ then for all values of $\theta$
If $A={{\sin }^{2}}\theta +{{\cos }^{4}}\theta ,$ then for all real values of $\theta$
.The value of x for maximum value of $(\sqrt{3}\,\sin x+\cos x)$ is
If $\alpha +\beta -\gamma =\pi ,$then${{\sin }^{2}}\alpha +{{\sin }^{2}}\beta -{{\sin }^{2}}\gamma =$
If A, B, C, D are the angles of a cyclic quadrilateral, then $\cos \,A+\cos B+\cos \,\,C+\cos D=$
If $A+B+C=\pi ,$ then $\frac{\cos A}{\sin B\sin C}+\frac{\cos B}{\sin C\sin A}+\frac{\cos C}{\sin A\sin B}=$
If ABCD is a cyclic quadrilateral, then the value of $\cos A-\cos B+\cos C-\cos D=$
In a triangle ABC, the value of $\sin A+\sin B+\sin C$ is
In triangle ABC, the value of $\sin 2A+\sin 2B+\sin 2C$ is equal to
If $x+y+z={{180}^{o}},$ then $\cos 2x+\cos 2y-\cos 2z$ is equal to

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