Evaluate without using trigonometric tablescos226∘+cos64∘sin26∘+cot54∘tan36∘

cos226∘+cos64∘sin26∘+cot54∘tan36∘=cos226∘+cos(90∘−26∘)sin26∘+cot(90∘−36∘)tan36∘ =cos226∘+sin26∘sin26∘+tan36∘tan36∘ =cos226∘+sin226∘+1 =1+1 =2

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Evaluate without using trigonometric tables ^226^+,64^ ,26^+{,

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Evaluate without using trigonometric tables
$cos^{2} 2 6^{\circ} + cos 6 4^{\circ} sin 2 6^{\circ} + \frac{tan 3 6 ^{\circ}}{cot 5 4 ^{\circ}}$

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Evaluate without using trigonometric tables

cos^{2} 2 6^{\circ} + cos 6 4^{\circ} sin 2 6^{\circ} + \frac{tan 3 6 ^{\circ}}{cot 5 4 ^{\circ}}

14 mins ago

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cos^{2} 2 6^{\circ} + cos 6 4^{\circ} sin 2 6^{\circ} + \frac{tan 3 6 ^{\circ}}{cot 5 4 ^{\circ}} = cos^{2} 2 6^{\circ} + cos (9 0^{\circ} - 2 6^{\circ}) sin 2 6^{\circ} + \frac{tan 3 6 ^{\circ}}{cot ( 9 0 ^{\circ} - 3 6 ^{\circ} )}

= cos^{2} 2 6^{\circ} + sin 2 6^{\circ} sin 2 6^{\circ} + \frac{tan 3 6 ^{\circ}}{tan 3 6 ^{\circ}}

= cos^{2} 2 6^{\circ} + sin^{2} 2 6^{\circ} + 1

= 1 + 1

= 2

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Question Text	Evaluate without using trigonometric tables $cos^{2} 2 6^{\circ} + cos 6 4^{\circ} sin 2 6^{\circ} + \frac{tan 3 6 ^{\circ}}{cot 5 4 ^{\circ}}$
Answer Type	Text solution:1
Upvotes	150