Answer:
Solution: cot(52°)
Step-by-step explanation:
Remember that the cofunction of angle theta say, is the trigonometric complement of the angle. It represents the relationship between trigonometric functions. In this case you can use the formula:
tan(θ) = cot(90° - θ)
If we plug in '38 degrees' in replacement of 'theta' we can solve for tan(38) in terms of cot. Let's see what our solution is:
tan(38°) = cot(90° - 38°),
tan(38°) = cot(52°)
Therefore the cofunction with the same value as tan(38°) would be cot(52°). Remember this is only one example of it's 'cofunction.'
