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The value of tan $1^{\circ}$ tan $2^{\circ}$ tan $3^{\circ}$$\times..........\times$tan $89^{\circ}$ is

value of $\displaystyle \dfrac{\tan ^{2}60^{\circ} -2\tan^{2}45^{\circ}+\sec ^{2}0^{\circ}}{3\sin ^{2}45^{\circ}\sin 90^{\circ}+\cos ^{2}60^{\circ}cos^{3}0^{\circ}}$

The value of $\displaystyle \frac { \sin { { 70 }^{ o } }  }{ \cos { { 20 }^{ o } }  } +\frac { \text{cosec }{ 20 }^{ o } }{ \sec { { 70 }^{ o } }  } -2\cos { { 70 }^{ o } } \text{cosec }{ 20 }^{ o }$ is :

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

The value of $\displaystyle \sec { { 41 }^{ o } } \sin { { 49 }^{ o }+ } \cos { { 49 }^{ o } } \text{cosec }{ 41 }^{ o }$ is :

The value of $\displaystyle \frac { 2\cos { { 67 }^{ o } }  }{ \sin { { 23 }^{ o } }  } -\frac { \tan { { 40 }^{ o } }  }{ \cot { { 50 }^{ o } }  } -\sin { { 90 }^{ o } }$ is :

The value of   $\displaystyle \sin { \theta  } \cos { \theta  } -\frac { \sin { \theta  } \cos { \left( { 90 }^{ o }-\theta  \right)  } \cos { \theta  }  }{ \sec { \left( { 90 }^{ o }-\theta  \right)  }  } -\frac { \cos { \theta  } \sin { \left( { 90 }^{ o }-\theta  \right)  } \sin { \theta  }  }{ \text{cosec }\left( { 90 }^{ o }-\theta  \right)  }$ is :

If $\displaystyle \sec 2A=\text{cosec } \left ( A-42^{\circ} \right )$ where $2A$ is acute angle, then value of $A$ is

The value of $\displaystyle  \tan 1^{\circ}\tan 2^{\circ}\tan 3^{\circ}.....\tan 89^{\circ}$ is 

Find the value of