To simplify the expression sin(16π/3) + tan(9π/4) + (1/2) * cot(5π/6), we need to convert the trigonometric functions to their respective values and then perform the calculations.
Now substituting these values back into the expression:
√3/2 + 1 + (1/2) * √3= √3/2 + 1 + √3/2= 2√3/2 + 1= √3 + 1
Therefore, the simplified expression is √3 + 1.
To simplify the expression sin(16π/3) + tan(9π/4) + (1/2) * cot(5π/6), we need to convert the trigonometric functions to their respective values and then perform the calculations.
sin(16π/3) = sin(4π + π/3) = sin(π/3) = √3/2tan(9π/4) = tan(2π + π/4) = tan(π/4) = 1cot(5π/6) = cot(π - π/6) = cot(π/6) = √3Now substituting these values back into the expression:
√3/2 + 1 + (1/2) * √3
= √3/2 + 1 + √3/2
= 2√3/2 + 1
= √3 + 1
Therefore, the simplified expression is √3 + 1.