Trigonometric F...

Which of the following statements is incorrect ?

For $$x  \in (0, \pi)$$, the equation $$\sin x + 2 \sin 2 x - \sin 3x =3$$, has 

If $$0^{\circ}\leq \theta\leq 90^{\circ}$$ and $$\sqrt{3} tan\theta - sec\theta=1$$, then $$\theta$$ has the value

The of value of $$\quad \sin60^{\small\circ}\cos30^{\small\circ} + \cos60^{\small\circ}\sin30^{\small\circ}$$ is equal to

Which one of the following relations is true ?

The value of $$5\tan ^{ 2 }{ \theta  } -5\sec ^{ 2 }{ \theta  } $$ is :

$$\displaystyle \frac { \sin { A }  }{ 1+\cos { A }  } +\frac { \sin { A }  }{ 1-\cos { A }  } $$ is equal to :

If $$0^{\circ} \leq \theta \leq 90^{\circ}$$ and $$\sqrt{2} tan \theta - sec \theta =0$$, then the value of $$(\sqrt{2} sin  \theta + 2 tan  \theta)$$ is -

Which is true for all values of $$\theta$$?

The value of $$ 1+ \cot^2 A$$ is

$$sin^2x+cos^2x=$$