Finding trigonometric functions of this triangle

Question

Triangle with angle theta, hypotenuse=√5 and opposite the angle length =1. 

 

To to solve for the missing side, I did (√5)^2 —(1)^2 = 5. 

 

When I find the trigonometric functions of sin , cos, tan, csc, cot the answer in the book is completely  different. I have no idea if this is an error. 

Answer 1

adjacent = 2

(√5)² = 1² + a²

5 = 1 + a²

4= a²

2 = a

 

Use these numbers.