Trigonometric Tables — Chapter Summary
ICSE · Class 10 · Mathematics
Summary of Trigonometric Tables for ICSE Class 10 Mathematics. Part of the ICSE Class 10 Mathematics syllabus.
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Trigonometric tables give approximate values of sine, cosine, and tangent for angles from 0° to 90°, correct up to four places of decimals. These tables are used when exact calculation is difficult and a close decimal value is needed. Angle measurement uses degree, minute, and second: 1 degree = 60
Key Concepts
An angle can be divided into
An angle can be divided into smaller parts. 1° = 60′ and 1′ = 60″. This makes it possible to express angles more precisely.
A decimal degree is first split
A decimal degree is first split into degrees and decimal minutes. The decimal minutes are then converted into seconds if required. For example, (20.6)
A trigonometric table contains approximate values
A trigonometric table contains approximate values of sine, cosine, and tangent for angles between 0° and 90°, correct up to four decimal places.
The first column on the extreme
The first column on the extreme left contains degrees from 0° to 90°. The table has ten main minute columns headed by 0′, 6′, 12′, 18′, 24′, 36′, 42′,
Mean difference columns are used
Mean difference columns are used to adjust the value of a trigonometric function to the fourth decimal place. The mean difference is added when the fu
Learning Objectives
- Understand the relationship between degrees, minutes, and seconds.
- Convert decimal degrees into degrees, minutes, and seconds.
- Recognize the use of trigonometric tables for sine, cosine, and tangent values.
- Identify the structure of a trigonometric table.
- Apply the rule for mean differences correctly.
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