How do i simplify this ? (tga + tgb)/(ctga + ctgb) tga+tgbctga+ctgb

3 Answers
Apr 5, 2018

Ignore this answer. Please delete @moderators.

Explanation:

Wrong answer. Sorry.

Apr 6, 2018

Incorrect Answer

Explanation:

Also the wrong answer, please disregard and delete

Apr 6, 2018

(tana+tanb)/(cota+cotb)=tanatanbtana+tanbcota+cotb=tanatanb

Explanation:

(tana+tanb)/(cota+cotb)tana+tanbcota+cotb

Note that cotx=1/tanxcotx=1tanx, so

=(tana+tanb)/(1/tana+1/tanb)=tana+tanb1tana+1tanb.

Find a common denominator for the denominator!

=(tana+tanb)/((tana+tanb)/(tanatanb))=tana+tanbtana+tanbtanatanb

Invert and multiply.

=(tana+tanb)*((tanatanb)/(tana+tanb))=(tana+tanb)(tanatanbtana+tanb)

Cancel.

=tanatanb=tanatanb