few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Mathematical concept/skill options: 
A. Prove and apply trigonometric identities.
B. Model periodic phenomena with trigonometric functions.
C. Interpret functions that arise in applications in terms of the context.
D. Build a function that models a relationship between two quantities.
E. Define, evaluate, and compare functions.
F. Use functions to model relationships between quantities.
G. Understand the concept of a function and use function notation.
H. Analyze functions using different representations.
I. Extend the domain of trigonometric functions using the unit circle.
J. Interpret expressions for functions in terms of the situation they model.
K. Build new functions from existing functions.
L. Construct and compare linear and exponential models and solve problems.


Your response:
Thought: This problem applies trigonometric identities, including the angle addition formula for cosine.
Answer: A

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001894

HS
options: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Represent and interpret data.

Geometric measurement: understand concepts of angle and measure angles.

Measure and estimate lengths in standard units.

Classify objects and count the number of objects in each category.

Work with time and money.

Convert like measurement units within a given measurement system.

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Measure lengths indirectly and by iterating length units.

Relate addition and subtraction to length.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Tell and write time.

Describe and compare measurable attributes.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
problem_activity: Task
One day, Frog and Toad were sitting together on a lily pad. Some lily pads were in a line across the pond.
[IMG]
In the morning, Frog hopped three lily pads away. In the afternoon, he hopped two more away. In the evening, he hopped another two more.
Toad hopped four lily pads away in the morning. He rested in the afternoon and continued three further in the evening. Frog said,
Toad, we ended up at the same place!
Show each of their journeys on a number line, starting at $0$. Use different colors for the morning, afternoon, and evening hops. Write a number sentence that reflects that they ended up at the same place.


correct_option_index: 9