Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of triangles.

The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least the length of one side and the value of one angle is known, then all other angles and lengths can be determined algorithmically.

These calculations are pervasive in both pure and applied mathematics with many applications in fields as diverse as physics, mechanical and electrical engineering, music and acoustics, astronomy, ecology, and biology. Trigonometry is also the foundation of surveying.

Trigonometry is most simply associated with planar right-angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees). The applicability to non-right-angle triangles exists, but, since any non-right-angle triangle (on a flat plane) can be bisected to create two right-angle triangles, most problems can be reduced to calculations on right-angle triangles. Thus the majority of applications relate to right-angle triangles.

### Course Curriculum

Introduction | |||

Measurement of Angle | 00:00:00 | ||

Trigonometric Ratios | |||

Trigonometric Ratios | 00:00:00 | ||

Real Definition of sine and cosine | 00:00:00 | ||

Trigonometric Ratios of Allied Angles | 00:00:00 | ||

Important Observations for T-Ratios | 00:00:00 | ||

Trigonometric Ratios of Compound, Multiple & Sub-multiple Angles | |||

Trigonometric Ratios of Compound Angles | 00:00:00 | ||

Formulae & Identities | 00:00:00 | ||

Trigonometric Ratios of Multiple & Sub-Multiple Angles | 00:00:00 | ||

T-Ratios for some standard angles | |||

T-Ratios of 18°, 36°, 54°, 72° | 00:00:00 | ||

Conditional Identities | |||

Conditional Identitiy | 00:00:00 | ||

Maximum and Minimum of Trigonometric Functions | |||

Maximum and Minimum of Trigonometric Functions | 00:00:00 | ||

Special Trigonometric Identities | |||

Summation of Trigonometric Series | 00:00:00 | ||

Continued Product of Sine and Cosine series | 00:00:00 | ||

Practice Problems | |||

Practice Problems | 00:00:00 | ||

Quiz | |||

TRI Mains quiz | 01:00:00 | ||

TRI BRAIN TEASERS | 00:00:00 |

### Course Reviews

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