The value of expression $\displaystyle \frac{\sin 30^{\circ}+\tan 45^{\circ}-\sec 60^{\circ}}{\text{cosec}30^{\circ}-\cot 45^{\circ}-\cos 60^{\circ}}$ =

Substitute the standard values sin(30 degrees) = 1/2, tan(45 degrees) = 1, sec(60 degrees) = 2, cosec(30 degrees) = 2, cot(45 degrees) = 1, and cos(60 degrees) = 1/2 into the expression. The numerator evaluates to 1/2 + 1 - 2, which equals -1/2. The denominator evaluates to 2 - 1 - 1/2, which also equals 1/2. Dividing the numerator by the denominator gives (-1/2) / (1/2), which results in -1.

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