Question

Prove that:
a) cos1°Cos2°Cos3°.........cos180° = 0
b) tan1°tan2°tan3°.......tan89° = 1

Answer 1

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1) To prove : cos1.cos2.cos3...................cos180 = 0

It can be rewritten as,

cos1°.cos2°..............cos90°.............cos180°

Since,

cos90° = 0

cos1°.cos2°.cos3°...............(0)...........cos180°

= 0

Hence,Proved

2) To Prove: tan1°.tan2°............tan89° = 1

Since,

cot∅ = tan(90 - ∅)

Implies,

LHS can also be written as:

tan1°.tan2°...............tan45°............cot2°.cot1°

Thus,all terms cancel each other out leaving tan45°

= tan45°

= 1

Henceforth,Proved

Answer 2

Answer:

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Explanation:

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