The LPC845 does have protection diodes on its ADC pins, but the exact characteristics of these diodes are not provided in the datasheet. The protection diodes are designed to prevent damage to the chip from minor voltage overshoots, but they are not intended to be a primary protection mechanism against reverse voltage. If you expect that the ADC pin might be exposed to reverse voltage, it would be advisable to add an external protection circuit to prevent this.
As for the voltage tolerance, the LPC845's ADC pins are designed to handle voltages in the range of 0 to VDD, where VDD is the supply voltage to the chip. The exact maximum voltage will depend on your specific setup, but it will typically be around 3.3V. If the voltage on the ADC pin exceeds VDD (even briefly), it could potentially cause damage to the chip.
When applying a sinusoidal wave to the ADC, you need to ensure that the voltage of the wave never goes below 0V or above VDD. If the wave has a negative component, you will need to add a DC offset to bring it into the 0 to VDD range.