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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