Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

In right triangle abc, tan(a)=3/4.Find sin(a) and cos(a)



Sagot :

AL2006
"tan" means the tangent function of one of the acute angles.
It's the ratio of the length of the opposite side to the length of the adjacent side.
If you say that tan(a) = 3/4, then in the same triangle, the hypotenuse is 5 , and
now that we know all the sides, we can state all the other trig functions of that angle.

opposite = 3
adjacent = 4
hypotenuse = 5

sin(a) = opp/hyp =  3/5
csc(a) = hyp/opp =  5/3 

cos(a) = adj/hyp =  4/5
sec(a) = hyp/adj =  5/4

tan(a) = opp/adj =  3/4
cot(a) = adj/opp =  4/3