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Trigonometry

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Moderate

Complementary Angles, Tangent, Cotangent, Evaluate

TRIG-R6UOJU

Without using your calculator or any trigonometric table, evaluate:

$$ \tan { \left( { 32 }^{ o } \right) } \times \tan { \left( { 58 }^{ o } \right) } -\cot { \left( { 32 }^{ o } \right) } \times \cot { \left( { 58 }^{ o } \right) } $$

A

$2$

B

$1$

C

$0$

D

$\cfrac { 1 }{ 2 }$