Class - 10, Chapter 8 (Introduction to Trigonometry) Maths By Green Board CBSE, NCERT, KVS

GREEN Board22 minutes read

The video explains key concepts in trigonometry like sine, cosine, and tangent ratios, focusing on right triangles and their relationships to other triangles. It also covers mnemonic devices for remembering ratios and provides guidance on handling angle changes and complementary angles in trigonometry.

Insights

  • Trigonometry is a branch of Mathematics that deals with relationships between sides and angles in triangles, focusing on right triangles and their connections to other types of triangles.
  • Mnemonic devices like "Pandit Badri Prasad Har Har Bole" are used to aid in remembering trigonometric ratios such as sine, cosine, and tangent, which are crucial for calculating ratios based on triangle sides and understanding reciprocal relationships between these ratios.

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Recent questions

  • What is trigonometry?

    Trigonometry is a branch of Mathematics that deals with the relationships between the sides and angles of triangles.

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Summary

00:00

Trigonometry Basics: Ratios, Triangles, and Formulas

  • Video discussing Chapter 8 of Class 10 Math, "Introduction to Trigonometry."
  • Trigonometry defined as a branch of Mathematics relating triangle sides and angles.
  • Focus on right triangles and their relation to other triangles.
  • Introduction to trigonometric ratios like sine, cosine, and tangent.
  • Explanation of how to calculate ratios based on triangle sides.
  • Detailed breakdown of sine, cosine, and tangent ratios.
  • Reciprocal relationships between trigonometric ratios.
  • Mnemonic device "Pandit Badri Prasad Har Har Bole" for remembering ratios.
  • Instructions on handling angle changes in trigonometric calculations.
  • Formula for finding tangent as sine divided by cosine.

15:33

Trigonometry: Solving Angles with Formulas

  • The value of the victim is 545 degrees, and the question involves adding 1045 degrees to a secret value of six degrees.
  • To determine the force, refer to a table to find the values of 1045 and Sector-60, then solve for the difference.
  • The value of 1045 is identified as Titanic, equivalent to 10450, with a substitution of 10451 for 1045.
  • The next step involves adding 16 degrees to Sector-60 to find the value of Sector-60.
  • By substituting two for Sector-60, the answer is derived as three, simplifying the process.
  • Trigonometry values are provided for Science Sixty and 1045, aiding in question-solving without the need to reference a table.
  • Complementary angles in trigonometry are discussed, emphasizing the relationship between angles and their corresponding sides.
  • Formulas for trigonometric ratios of complementary angles are detailed, with instructions on how to develop additional formulas for problem-solving.
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