Trigonometry
Trigonometry is a branch of mathematics that studies the relationship between the sides and angles of triangles. The word comes from the Greek words 'Trigon' meaning triangle and 'Metron' meaning measure. It is the foundation for measuring distances that are difficult to reach physically. In competitive exams, we mainly focus on right-angled triangles. A right-angled triangle has one angle equal to 90 degrees.
Concepts (2)
This concept applies trigonometry to find heights of objects or distances between points. The 'Angle of Elevation' is the angle between the horizontal line and the line of sight when looking up.
This concept applies trigonometry to find heights of objects or distances between points. The 'Angle of Elevation' is the angle between the horizontal line and the line of sight when looking up. The 'Angle of Depression' is the angle when looking down. Usually, the Tangent ratio (tan) is the most useful here because it connects height (Perpendicular) and distance (Base).
Identities are equations that are always true for any value of the angle. They are used to simplify complex expressions in exams. The most famous one is based on the Pythagoras theorem, relating sin and cos.
Identities are equations that are always true for any value of the angle. They are used to simplify complex expressions in exams. The most famous one is based on the Pythagoras theorem, relating sin and cos. If you see 'sin squared' and 'cos squared' added together in a question, the value is always 1. These identities help convert one ratio into another form easily.
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