Question
Fri August 10, 2012 By:
 

Evaluate without using Trigonometric Table:tan7 . tan23 . tan60 . tan67 . tan83 + (cot54/tan36) + sin20 . sec70 - 2 (sin3θ + cos3θ/sinθ + cosθ) + sinθ + cosθ Please answer this question as fast as you can, I need it immediately and also clarify the concept please.

Expert Reply
Fri August 10, 2012
We would request you to please ask one question at a time. The answer to your first question is as follows:
 
tan7 . tan23 . tan60 . tan67 . tan83 + (cot54/tan36) + sin20 . sec70 - 2
= tan7 . tan23 . (sqrt 3) . tan(90 - 23) . tan(90 - 7) + (cot(90 - 36)/tan36) + sin(90 - 70) . sec70 - 2
= tan7 . tan23 . (sqrt 3) . cot23 . cot7 + tan36/tan36 + cos70 . sec70 - 2
= (sqrt 3) + 1 + 1 - 2
= sqrt 3
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