How to prove that tan35+tan10+tan35tan10=1? Trigonometry 1 Answer F. Javier B. May 28, 2018 See below Explanation: We use the identity tan(a-b)=(tana-tanb)/(1+tanatanb) And the fact 45=35-10. and tan45=1. Then tan35=tan(45-10)=(tan45-tan10)/(1+tan45tan10)= =(1-tan10)/(1+tan10). Transposing terms, we have tan35(1+tan10)=1-tan10 tan35+tan35tan10+tan10=1 QED Answer link Related questions How do I determine the molecular shape of a molecule? What is the lewis structure for co2? What is the lewis structure for hcn? How is vsepr used to classify molecules? What are the units used for the ideal gas law? How does Charle's law relate to breathing? What is the ideal gas law constant? How do you calculate the ideal gas law constant? How do you find density in the ideal gas law? Does ideal gas law apply to liquids? Impact of this question 4402 views around the world You can reuse this answer Creative Commons License