To solve this expression, we first need to find the values of each trigonometric function at the given angles.
sin(17π/6) = sin(2π + π/6) = sin(π/6) = 1/2
cos(14π/3) = cos(4π + 2π/3) = cos(2π/3) = -1/2
tan(13π/4) = tan(3π + π/4) = tan(π/4) = 1
Now, we can substitute these values back into the original expression:
sin(17π/6) + cos(14π/3) - tan(13π/4)= 1/2 - 1/2 - 1= -1
Therefore, the value of the expression sin(17π/6) + cos(14π/3) - tan(13π/4) is -1.
To solve this expression, we first need to find the values of each trigonometric function at the given angles.
sin(17π/6) = sin(2π + π/6) = sin(π/6) = 1/2
cos(14π/3) = cos(4π + 2π/3) = cos(2π/3) = -1/2
tan(13π/4) = tan(3π + π/4) = tan(π/4) = 1
Now, we can substitute these values back into the original expression:
sin(17π/6) + cos(14π/3) - tan(13π/4)
= 1/2 - 1/2 - 1
= -1
Therefore, the value of the expression sin(17π/6) + cos(14π/3) - tan(13π/4) is -1.