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A trigonometry problem! NEED HELP!!

Prove that

Note by Ashley Shamidha
1 year, 9 months ago

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Please someone prove this Ashley Shamidha · 1 year, 9 months ago

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@Ashley Shamidha What are the the restrictions on B and C? Akshay Bodhare · 1 year, 9 months ago

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@Akshay Bodhare ABC is a triangle and A+B+C =180 Ashley Shamidha · 1 year, 9 months ago

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@Ashley Shamidha Then expand to get \(\tan A (\tan B+\tan C) + \tan B \tan C\).

It's easy to prove \(\frac{\sin A} {\cos B \cos C}=\tan B + \tan C\)

Then after some simplification,you will get the required expression as, \(1+\sec A \sec B \sec C\), which is always greater than 2 in case of triangle. Akshay Bodhare · 1 year, 9 months ago

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