23/sin(23π/6)cos(23π/3)
First, let's simplify the trigonometric functions:
sin(23π/6) = sin(11π/6 + π/6) = -sin(π/6) = -1/2
cos(23π/3) = cos(6π + π/3) = cos(π/3) = 1/2
Now substitute these values back into the expression:
23/(-1/2 1/2)= 23/(-1/4)= -23 4= -92
Therefore, the value of the expression is -92.
23/sin(23π/6)cos(23π/3)
First, let's simplify the trigonometric functions:
sin(23π/6) = sin(11π/6 + π/6) = -sin(π/6) = -1/2
cos(23π/3) = cos(6π + π/3) = cos(π/3) = 1/2
Now substitute these values back into the expression:
23/(-1/2 1/2)
= 23/(-1/4)
= -23 4
= -92
Therefore, the value of the expression is -92.