$\frac{{2\sin \theta \,\tan \theta (1 - \tan \theta ) + 2\sin \theta {{\sec }^2}\theta }}{{{{(1 + \tan \theta )}^2}}} = $

  • A

    $\frac{{\sin \,\theta }}{{1 + \tan \theta }}$

  • B

    $\frac{{2\,\sin \theta }}{{1 + \tan \theta }}$

  • C

    $\frac{{2\sin \theta }}{{{{(1 + \tan \theta )}^2}}}$

  • D

    એકપણ નહિ. 

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  • [JEE MAIN 2021]

અંશ માપ શોધો. ( $\pi=\frac{22}{7}$ લો. ) $-4$

જો ${\tan ^2}\alpha {\tan ^2}\beta + {\tan ^2}\beta {\tan ^2}\gamma + {\tan ^2}\gamma {\tan ^2}\alpha $ $ + 2{\tan ^2}\alpha {\tan ^2}\beta {\tan ^2}\gamma = 1,$ તો ${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma =.........$