# A trigonometry problem! NEED HELP!!

Prove that

Note by Ashley Shamidha
3 years, 2 months ago

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- 3 years, 2 months ago

What are the the restrictions on B and C?

- 3 years, 2 months ago

ABC is a triangle and A+B+C =180

- 3 years, 2 months ago

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.

- 3 years, 2 months ago