Without trigonometric table, evaluate tan27∘cot63∘

Takingtan27∘cot63∘tan27∘cot(90−27)∘We know, cot(900−θ ) =tanθ tan27∘tan27∘=1

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Without trigonometric table, evaluate { 63^{}}{ 27^{}}

Question

Without trigonometric table, evaluate $\frac{cot 6 3 ^{\circ}}{tan 2 7 ^{\circ}}$

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Without trigonometric table, evaluate

\frac{cot 6 3 ^{\circ}}{tan 2 7 ^{\circ}}

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Taking

\frac{cot 6 3 ^{\circ}}{tan 2 7 ^{\circ}}

\frac{cot ( 90 - 27 ) ^{\circ}}{tan 2 7 ^{\circ}}

We know,

cot (9 0^{0} - θ) = tan θ

\frac{tan 2 7 ^{\circ}}{tan 2 7 ^{\circ}}

= 1

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Question Text	Without trigonometric table, evaluate $\frac{cot 6 3 ^{\circ}}{tan 2 7 ^{\circ}}$
Answer Type	Text solution:1
Upvotes	150