India · c. 600-c. 680
Bhaskara I
Bhaskara I was mathematician and astronomer. He wrote commentaries on Aryabhata and produced a notable rational approximation for the sine function.
Biographical and historical reference works document Bhaskara I’s role and the mathematical work summarized on this page.
3-5, 6-8, 9-12, College
The person and the work
Biography
Bhaskara I was mathematician and astronomer associated with India. He wrote commentaries on Aryabhata and produced a notable rational approximation for the sine function.
His sine approximation is accurate over a broad interval without using modern power-series notation. Together, these contributions connect fractions, ratios, and percentages, algebra and functions, and trigonometry to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
He wrote commentaries on Aryabhata and produced a notable rational approximation for the sine function.
Method, teaching, or application
His sine approximation is accurate over a broad interval without using modern power-series notation.
Why this matters
The larger lesson
Bhaskara I shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that fractions, ratios, and percentages, algebra and functions, and trigonometry can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- c. 600
Life and working period
Bhaskara I worked as mathematician and astronomer in India.
- Legacy
Lasting mathematical connection
His sine approximation is accurate over a broad interval without using modern power-series notation.
Key idea
Proportion preserves a relationship
Bhaskara I’s work connects quantities by ratio. Scaling both parts by the same factor keeps the relationship unchanged.
The ratio 6:7 scaled by 5 becomes 30:35.
Try it yourself
Scale a ratio
Scale the ratio 6:7 by a factor of 5.
- Multiply the first term by the scale factor.
- Multiply the second term by the same factor.
- Confirm that both ratios simplify to the same value.
Show the answer
The scaled ratio is 30:35.
Math at work
Navigators and pilots use the same habits
Navigators and pilots use fractions, ratios, and percentages to plan, compare, test, or communicate decisions. Bhaskara I’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
His sine approximation is accurate over a broad interval without using modern power-series notation.
Bhaskara I matters because of only one famous formula or anecdote.
The documented record is broader: He wrote commentaries on Aryabhata and produced a notable rational approximation for the sine function.
Keep exploring
Connected learning paths
Related math terms
- Ratio
- Proportion
- Percentage
- Variable
Practice these ideas
- Fractions & DecimalsWork with fractions, decimals, percentages, and conversions.
- Pre-AlgebraBridge arithmetic and algebra with integers, ratios, and equations.
- Algebra IPractice equations, variables, functions, ratios, and inequalities.
- Algebra IIWork with quadratics, polynomials, systems, and sequences.
- TrigonometryUse angles, right triangles, radians, and trigonometric functions.