Assignment

Which of the following statement(s) is/are correct?

If $\sin \theta =K,-1\le K\le 1$, then number of values of $\theta$, for same value of $K$ in $[0,2\pi ]$ may be

In a triangle $ABC,\frac{a}{b}=2+\sqrt{3},\angle C=60°$, then in the triangle

If $\cos A+\cos B=4{\sin }^2\left(\frac{C}{2}\right) ,$ then -

In a triangle $ABC$, point $D$ and $E$ are taken on side $BC$ such that $BD=DE=EC$. If angle $ADE=$ angle $AED=\theta$, then

In a $\Delta ABC,a\cos B+b\cos C+c\cos A=\frac{a+b+c}{2}$ then

The angles $A, B, C$ of a triangle $ABC$ satisfy $4\cos A\cos B+\sin 2A+\sin 2B+\sin 2C=4$. Then which of the following statements is/are correct?

In a triangle $ABC$ -