Find the exact value of sin(arctan2/5)
Draw a right triangle with the long leg horizontal.
Label the vertical side 2, the horizontal leg 5.
Calculate the hypotenuse by Pythagoras theorem: √(5^2+2^2)=√29
therefore
Sin(θ)=2/√29
Label the vertical side 2, the horizontal leg 5.
Calculate the hypotenuse by Pythagoras theorem: √(5^2+2^2)=√29
therefore
Sin(θ)=2/√29