Class 11 Mathematics — Chapter 3: TRIGONOMETRIC FUNCTIONS

What you'll learn

• ▸Angle Measurement Concepts
• ▸Degree Measure System
• ▸Radian Measure System
• ▸Relationship between Degrees and Radians
• ▸Conversion from Degrees to Radians
• ▸Conversion from Radians to Degrees
• ▸Applications of the Arc Length Formula

Chapter Summary

--- PAGE 1 --- Chapter 3 TRIGONOMETRIC FUNCTIONS A mathematician knows how to solve a problem, he can not solve it. – MILNE 3.1 Introduction The word 'trigonometry' is derived from the Greek words 'trigon' and 'metron' and it means 'measuring the sides of a triangle'. The subject was originally developed to solve geometric problems involving triangles. It was studied by sea captains for navigation, surveyor to map out the new lands, by engineers and others. Currently, trigonometry is used in many areas such as the science of seismology, designing electric circuits, describing the state of an atom, predicting the heights of tides in the ocean, analysing a musical tone and in many other areas. In earlier classes, we have studied the trigonometric ratios of acute angles as the ratio of the sides of a right angled triangle. We have also studied the trigonometric identities and application of trigonometric ratios in solving the problems related to heights and distances. In this Chapter,…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Show a real-world use of radians. Get Solution →
2. Explain trigonometry's oldest known use. Get Solution →
3. Give examples of positive and negative angles. Get Solution →
4. According to the text, what is the direction of rotation for an angle to be considered positive? Get Solution →
5. How many minutes (') are in one degree (°)? Get Solution →
6. What is the fundamental relationship between π radians and degrees? Get Solution →
7. In the context of a unit circle where a point P(a, b) corresponds to an angle x, how is cos x defined? Get Solution →
8. According to the table of values for quadrantal angles, what is the value of sin(0°)? Get Solution →

Did you know?

• 💡 Ancient Babylonians divided a circle into 360 degrees, influencing math today.
• 💡 Sailors navigated vast oceans for centuries using trigonometry and star positions.
• 💡 Bees communicate nectar locations using precise angles in their waggle dance.
• 💡 Trigonometry helps describe musical sounds, ocean tides, and even atoms.
• 💡 Your eyes use trigonometric calculations to estimate distances and depths.

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