Solve sin(arctan 3) ???

Question

amistre64 · Answer

|dw:1361813066750:dw|

amistre64 · Answer

since the tangent is 3/1  you can construct a rt tri and solve for the hypot.  then sin is just opp/hyp

amistre64 · Answer

sin = 3/x

where x = sqrt(1^2+3^2)

anonymous · Answer

X= ^10

amistre64 · Answer

yep; x = sqrt(10)

so sin = 3/sqrt(10)

and simplify that to your hearts content

anonymous · Answer

What is the answer when you simplify?

amistre64 · Answer

well, there are 2 ways to write this; and it depends on the author of the text you are using.

some people abhor sqrts on the bottom so the multiply by sqrt/sqrt

a/sqrt(n) = a sqrt(n)/n  is a "simplified form".


if they want a rounded number try to just input it into a calculator

anonymous · Answer

Ok how do you input it in a calculator?

amistre64 · Answer

lol, depends on the calculator.

id just open google and input:   3/sqrt(10)

itll give you a calculator result

amistre64 · Answer

https://www.google.com/search?q=3%2Fsqrt(10)&aq=f&oq=3%2Fsqrt(10)&aqs=chrome.0.57j0j58j62l3.3713&sourceid=chrome&ie=UTF-8