# trigonometry – θ and φ are complementary angles. tan θ = 0.5 What is tan φ?

Given that $$theta,;φ$$ are complementary angles and $$tan theta = 0.5$$ , what is the value of $$tan φ$$?

Hi, this is trigonometry and I need help with this. I don’t understand, thanks.

I know how to solve the question using trial and error by plausible values of $$tan θ$$, and then solving for $$tan φ$$, but I don’t get how to logically solve it.