Monday
March 10, 2014

# Homework Help: Math C30

Posted by Don on Monday, November 7, 2011 at 11:09pm.

What's next?
Solve: cosx(tanx + sqroot3) - sqroot3/2(tanx-sqroot3)

• Math C30 - Anonymous, Monday, November 7, 2011 at 11:49pm

cosx(tanx + sqroot3) - sqroot3/2(tanx-sqroot3) = What ?

• Math C30 - Steve, Tuesday, November 8, 2011 at 11:41am

Well, if you want

cosx(tanx + sqroot3) - sqroot3/2(tanx-sqroot3) = 0

rearrange things a bit to get

tanx + √3 = √3/2 (tanx - √3)*secx

square both sides to get

tan2x + 2√3 tanx + 3 = 3/4 (tan2x - 2√3 tanx + 3)(tan2x + 1)

Let u = tanx to unclutter things. You end up needing to solve

3u4 - 9√3 u3 + 8u2 - 14√3 u + 6 = 0

Good luck. Maybe the original problem is missing something.

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