## anonymous one year ago what is the measure of the complementary angle to 0.8 radians? Give an exact answer

1. ybarrap

Complementary angles sum to 90 degrees, right? So 0.8 radians is how many degrees? Or keeping this in radians, 0.8 plus what is $$\cfrac{\pi}{2}$$, which is 90 degrees in radians? $$\cfrac{8}{10}+x=\cfrac{\pi}{2}$$ Solve for x. That's it!

2. anonymous

x=-4/5+pi/2?

3. ybarrap

That's right! $$x=-\cfrac{4}{5}+\cfrac{\pi}{2}=-\cfrac{8}{10}+\cfrac{5\pi}{10}=\cfrac{5\pi-8}{10}$$ Which is an exact answer.