Evaluate each of the following:
cosec330°cos60°tan345°sin²90°sec²45°cot30°
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cosec330°cos60°tan345°sin²90°sec²45°cot30° = 4√3 - 6
Given,
cosec 330° cos 60° tan 345° sin² 90° sec² 45° cot 30°
= cosec (360° - 30°) cos 60° tan (360° - 15°) sin² 90° sec² 45° cot 30°
= - cosec 30° cos 60° (-tan 15°) sin² 90° sec² 45° cot 30°
= -(2 ) (1/2 ) [-(2-√3) ] (1)^2 (√2)^2 ( √3)
= (-1) (-2+√3 ) (2) (√3)
= (-2√3) (-2+√3 )
= 4√3 - 2√3 (√3)
= 4√3 - 6
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