JEE Main & Advanced Mathematics Trigonometric Equations Trigonometrical Equations With Their General Solution

Trigonometrical Equations With Their General Solution

Category : JEE Main & Advanced

   

Trigonometrical equation General solution
\[\sin \theta =0\] \[\theta =n\pi \]
\[\cos \theta =0\] \[\theta =n\pi +\pi /2\]
\[\tan \theta =0\] \[\theta =n\pi \]
\[\sin \theta =1\] \[\theta =2n\pi +\pi /2\]
\[\cos \theta =1\] \[\theta =2n\pi \]
\[\sin \theta =\sin \alpha \] \[\theta =n\pi +{{(-1)}^{n}}\alpha \]
\[\cos \theta =\cos \alpha \] \[\theta =2n\pi \pm \alpha \]
\[\tan \theta =\tan \alpha \] \[\theta =n\pi \pm \alpha \]
\[{{\sin }^{2}}\theta ={{\sin }^{2}}\alpha \] \[\theta =n\pi \pm \alpha \]
\[{{\tan }^{2}}\theta ={{\tan }^{2}}\alpha \] \[\theta =n\pi \pm \alpha \]
\[{{\cos }^{2}}\theta ={{\cos }^{2}}\alpha \] \[\theta =n\pi \pm \alpha \]
\[\left. \begin{align}   & \sin \theta =\sin \alpha  \\  & \cos \theta =\cos \alpha \text{ } \\ \end{align} \right|\text{ *  }\] \[\theta =2n\pi +\alpha \]
\[\left. \begin{align}   & \sin \theta =\sin \alpha  \\  & \tan \theta =\tan \alpha \text{ } \\ \end{align} \right|\text{ *  }\] \[\theta =2n\pi +\alpha \]
\[\left. \begin{align}   & \tan \theta =\tan \alpha  \\  & \cos \theta =\cos \alpha \text{ } \\ \end{align} \right|\text{ *  }\]   \[\theta =2n\pi +\alpha \]

 

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