Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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