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Despite the bad weather, he was undeterred in his efforts to cycle to the house.
Indeterred means undiscouraged. Ex. Even though my car has broken down I am undeterred from going to work today.
Undeterred means to not be discouraged. An example sentence would be: Always stay undeterred no matter what happens in life.
Daring, reckless, intrepid, fearless, courageous, bold, brave, undeterred, confident ... how many do you want?