Understanding trigonometric functions can be tricky for students who are learning about them. Sometimes, looking at graphs of functions like (sin(x)) and (cos(x)) can confuse more than help. It can be hard for learners to see how these graphs relate to their mathematical identities.

Challenges:

• Difficult Functions: The wavy patterns of these functions can be a lot to handle.
• Wrong Interpretations: Graphs might not clearly show the exact relationships of identities, like (sin^2(x) + cos^2(x) = 1).
• Visualization Skills: Not everyone is good at imagining and understanding shapes and spaces.

Possible Solutions:

• Try using interactive graph tools. These can help you change the functions and see their identities better.
• Practice drawing and working with graphs regularly. This can make it easier to connect them to the identities you learn in algebra.