Question 1155306
adjacent = 3
opposite = 5
hypotenuse is sqrt(3^2 + 5^2) = sqrt(9 + 25) = sqrt(34) = 5.830952895.
round that off to 1 decimal point and you get 5.8.
that's only approximate though.
the exact answer is sqrt(34)
that does not appear to be simplified any further than that.


unless they asked for the answer to the nearest tenth, then 5.8 probably won't do it.
your solution for the 6 trigonometric functions should be:


sine = opposite / hypotenuse = 5 / sqrt(34)


cosine = adjacent / hypotenuse = 3 / sqrt(34)


tangent = opposite / adjacent = 5 / 3


cotangent = adjacent / opposite = 3 / 5


secant = hypotenuse / adjacent = sqrt(34) / 3


cosecant = hypotenuse / opposite = sqrt(34) / 5


note that sine = 5 / sqrt(34) can be simplified to (5 * sqrt(34) / 34.


not that cosine = 3 / sqrt(34) can be simplified to (3 * sqrt(34) / 34


note that secant = 1 / cosine = 1 / (3 / sqrt(34)) = 1 * sqrt(34) / 3 = sqrt(34) / 3


note that cosecant = 1 / sine = 1 / (5 / sqrt(34)) = 1 * sqrt(34) / 5 = sqrt(34) / 5


note that cotangent = 1 / tangent = 1 / (5/3) = 1 * 3/5 = 3/5


mpte that tangent also equals sine / cosine = (5 / sqrt(34) / (3 / sqrt(34)) = 
5 / sqrt(34) * sqrt(34) / 3 = 5 / 3


the answer to your questions should be:\


hypotenuse = sqrt(34)


sine = 5 / sqrt(34) = 5 * sqrt(34) / 34


cosine = 3 / sqrt(34) = 3 * sqrt(34) / 34


tangent = 3/5


cotangent = 5/3


secant = sqrt(34) / 3


cosecant = sqrt(34) / 5