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PolarisHub

Math-MCP

by PolarisHub

sin

Calculate the sine of a number in radians. Input the angle in radians to get the trigonometric sine value.

Instructions

Calculates the sine of a number in radians

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
numberYesThe number in radians to find the sine of
Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

The description accurately reflects the tool's behavior for a standard mathematical function. Without annotations, it carries the full burden but is sufficient given the simplicity.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single sentence with no unnecessary words, making it highly concise and front-loaded.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness5/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a simple math function with full schema coverage and no output schema needed, the description is complete enough. No additional information is required.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, and the description adds no additional meaning beyond what the schema already provides (parameter 'number' in radians). Baseline 3.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states it calculates the sine of a number in radians, which is a specific verb+resource. It is easily distinguished from sibling tools like arcsin (inverse), cos, and tan.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description specifies that the input must be in radians, implying usage context. However, it does not explicitly mention when to use this tool versus alternatives or provide any exclusion criteria.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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