In the previous article, we have discussed few short ans type questions in GENERAL SOLUTIONS OF TRIGONOMETRIC EQUATIONS…

$\,1(xxxi)\,\,\frac{\sin\alpha}{\sin2x}+\frac{\cos\alpha}{\cos2x}=2 \\ \Rightarrow \frac{\sin\alpha\cos2x+\cos\alpha\…

$\,1(xxxviii)\,\,3\tan\left(\theta-\frac{\pi}{12}\right)\\=\tan\left(\theta+\frac{\pi}{12}\right)\rightarrow(1)$ Let …

$\,\,1(xxi)\,\cos\theta -\sin\theta =\frac{1}{\sqrt2} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~(-\pi<\theta<\pi) \\ \Righ…

$\,1(xiii)\,\,\sin5x\cos3x=\sin9x\cos7x \\ \Rightarrow 2\sin5x\cos3x=2\sin9x\cos7x \\ \Rightarrow\sin(5x+3x)+\sin(5x-…

$\,1(vii)\,\, \sin2x+\sin4x+\sin6x=0 \\ \Rightarrow (\sin 2x+\sin 6x)+\sin4x=0 \\ \Rightarrow2\sin\left(\frac{6x+2x}{…

$\,\,1(xii)\,\,\,\cot \theta-\tan\theta=2 \\ \Rightarrow \frac{\cos\theta}{\sin\theta}-\frac{\sin\theta}{\cos\theta}=…

$\,1(vi)\,\, 3\sin^2\theta+7\cos^2\theta=6 \\ \Rightarrow 3\tan^2\theta+7=6\sec^2\theta \\ [\text{Dividing both sides…

Solve : $\,\,1(i)\,\, \tan\theta +\cot2\theta =2 \\ \Rightarrow \frac{\sin\theta }{\cos\theta }+\frac{\cos2\theta }{\…

Solve : $\,1(i)\,\,\sin2\theta=\cos3\theta\,\,\left(0<\theta<\pi\right) \\ \Rightarrow \cos3\theta=\sin2\theta …

$\,6.\,$ If $\,\,16\tan^8\phi=\cos2\theta+3\cos\theta\,\,$ and $\,\, 3\cos^2\phi=2,\,\,$ then find the general values…

$\,\,2(i)\,\,$ Solve : $\,\,\cos(2x+3y)=\frac 12\rightarrow(1)\\ \cos(3x+2y)=\frac{\sqrt3}{2}\rightarrow(2)$ From $\,…

$\,\,1(xi)\,\, 1+\sin^2\theta=3\sin\theta\cos\theta,\,\,$ given that , $\,\,\cot18^{\circ}26'=3.$ Sol. $\,\, 1+\si…

$\,1.\,$ Solve : $\,(i)\,\,4\sin\theta\cos\theta=1+2\cos\theta-2\sin\theta \\ [0<\theta<\pi]$ Sol. $\,\,4\sin\t…