Evaluate the following :cot37∘2tan53∘−tan10∘cot80∘

We have,cot37∘2tan53∘−tan10∘cot80∘=tan(90∘−37∘)2tan53∘−tan10∘cot(90∘−10∘)=tan53∘2tan53∘−tan10∘tan10∘=2−1=1

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Evaluate the following : {2 tan 53^{}}{cot 37^{}} , - , {cot 8

Question

Evaluate the following :
$\frac{2 t an 5 3 ^{\circ}}{co t 3 7 ^{\circ}} - \frac{co t 8 0 ^{\circ}}{t an 1 0 ^{\circ}}$

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Evaluate the following :

\frac{2 t an 5 3 ^{\circ}}{co t 3 7 ^{\circ}} - \frac{co t 8 0 ^{\circ}}{t an 1 0 ^{\circ}}

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9 mins ago

We have,

\frac{2 t an 5 3 ^{\circ}}{co t 3 7 ^{\circ}} - \frac{co t 8 0 ^{\circ}}{t an 1 0 ^{\circ}} = \frac{2 t an 5 3 ^{\circ}}{t an ( 9 0 ^{\circ} - 3 7 ^{\circ} )} - \frac{co t ( 9 0 ^{\circ} - 1 0 ^{\circ} )}{t an 1 0 ^{\circ}} = \frac{2 t an 5 3 ^{\circ}}{t an 5 3 ^{\circ}} - \frac{t an 1 0 ^{\circ}}{t an 1 0 ^{\circ}} = 2 - 1 = 1

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Question Text	Evaluate the following : $\frac{2 t an 5 3 ^{\circ}}{co t 3 7 ^{\circ}} - \frac{co t 8 0 ^{\circ}}{t an 1 0 ^{\circ}}$
Answer Type	Text solution:1
Upvotes	150