Important Questions of Trigonometry Class 10

1. Definition and Basic Concepts:
- Define trigonometry and its significance in mathematics.
- Explain the concepts of sine, cosine, and tangent functions.
- Discuss the trigonometric ratios in a right-angled triangle.

2. Trigonometric Identities:
- State and prove the basic trigonometric identities (sin^2θ + cos^2θ = 1, tanθ = sinθ/cosθ, etc.).
- Derive the sum and difference formulas for sine, cosine, and tangent functions.

3. Solving Trigonometric Equations:
- Solve simple trigonometric equations involving sine, cosine, and tangent functions.
- Use trigonometric identities to simplify and solve complex equations.

4. Applications of Trigonometry:
- Apply trigonometric concepts to solve real-life problems involving angles and distances.
- Solve problems related to heights and distances using trigonometric ratios.

5. Graphs of Trigonometric Functions:
- Plot the graphs of sine, cosine, and tangent functions on the coordinate plane.
- Explain the periodic nature of trigonometric functions and their amplitude.

6. Trigonometric Ratios of Complementary Angles:
- Define complementary angles and their relationship in trigonometry.
- Discuss how trigonometric ratios change for complementary angles.

7. Word Problems in Trigonometry:
- Solve word problems involving trigonometric concepts such as shadows, heights, and distances.
- Apply trigonometric ratios to find unknown angles and side lengths in various scenarios.

By thoroughly understanding these important questions in trigonometry, students can build a solid foundation in this branch of mathematics and excel in their class 10 examinations.

Ncert questions... with r.s aggarwal examples.