NCERT Class 10 Maths Chapter 9 Some Applications of Trigonometry Notes

Mathematics can be both fantastic and challenging at the same time. Specially in class 10 when students have to give board paper. So our NCERT class 10 Mathematics Chapter 9 Some Applications of Trigonometry notes will provide conceptual clarity to the students. It will work like a bridge for students between class room theory lecture and solving exercise at home.

These Class 10 Chapter 9 Some Applications of Trigonometry Notes is a masterstroke for students who want to pursue a career in science, like becoming an engineer, scientist etc. Most of the concept given in class 11 maths have already been introduced in class 10 maths. So these notes are also the foundation of class 11 math.

Class 10 Maths Chapter 9 Some Applications of Trigonometry Notes

Chapter 8: Introduction to Trigonometry Notes
Chapter 10: Circles Notes

Below we have also given most important topics of NCERT Class 10 Mathematics chapter 9 Some Applications of Trigonometry Notes. Students should revise these notes regularly to remember the chapter properly.

Important Topic of Some Applications of Trigonometry

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5. Fundamental Trigonometric Identities:

sin2⁡θ+cos2⁡θ=1\sin^2\theta + \cos^2\theta = 1
1+tan2⁡θ=sec2⁡θ(0∘≤θ<90∘)1 + \tan^2\theta = \sec^2\theta \quad (0^\circ \le \theta < 90^\circ)
1+cot2⁡θ=csc2⁡θ(0∘<θ≤90∘)1 + \cot^2\theta = \csc^2\theta \quad (0^\circ < \theta \le 90^\circ)

6. Application of Trigonometric Ratios:

  • Trigonometric ratios serve as tools to compute dimensions such as the height, length, or distance separating inaccessible or distant objects.

7. Line of Sight:

  • The straight path connecting an observer’s eye directly to the target point being observed.

8. Pythagorean Theorem:

  • For any right-angled triangle, the square of the hypotenuse equals the sum of the squares of the remaining two perpendicular sides (a^2 + b^2 = c^2).
  • If the lengths of any two sides of a right triangle are known, this theorem allows calculation of the third side.

9. Reflection Over a Water Surface:

  • In optical reflection problems involving a planar water surface, the apparent depth of an object’s image beneath the water line equals the actual height of the object above the surface level.

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