NCERT Solutions Class 10 Maths Chapter 8 Introduction to Trigonometry

Our NCERT Solutions Class 10 Maths Chapter 8 Introduction to Trigonometry is prepared by the subject matter expert in a very precise way to make it easier for students to learn and understand all the concepts. Experts have used methods like graphs, diagrams, shortcuts, equations, and identities to make it intuitive for the students. An easy-to-understand and intuitive explanation of the solutions will students score good marks in their CBSE board examination.

In our NCERT Solutions for Class 10 MathsChapter 8 Introduction to Trigonometry, we get to learn about many different terms and trigonometric identities. Some of the important topics mentioned here are:

·        Sin (Sine), Cos (cosine), tan (tangent), and their uses in a triangle.

·        Sec (secant), cosec (cosecant), cot (cotangent) and how are they related to sin, cos, and tan?

·        Application of trigonometric ratios such as sin, cos, tan, sec, cosec, and cot.

·        Trigonometric ratios of some important angles such as 0֯, 30֯, 45֯, 60֯, 90֯.

·        Sin θ = Perpendicular/Hypotenuse, cos θ = Base/Hypotenuse, tan θ = perpendicular/base.

·        Trigonometric identities such as Pythagorean Trigonometric Identities.

§  Sin2 θ + cos2 θ = 1

§  1 + tan2 θ = 1

§  Cot2 θ + 1 = cosec2 θ

·        Reciprocal Trigonometric Identities

§  Sin θ = 1/Cosec θ or Cosec θ = 1/Sin θ

§  Cos θ = 1/Sec θ or Sec θ = 1/Cos θ

§  Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

·        Ratio Trigonometric Identities:

§  Tan θ = Sin θ/Cos θ

§  Cot θ = Cos θ/Sin θ

·        Trigonometric Identities of Opposite Angles:

§  Sin (-θ) = – Sin θ

§  Cos (-θ) = Cos θ

§  Tan (-θ) = – Tan θ

§  Cot (-θ) = – Cot θ

§  Sec (-θ) = Sec θ

§  Cosec (-θ) = -Cosec θ

·        Trigonometric Identities of Supplementary Angles

§  sin (180°- θ) = sinθ

§  cos (180°- θ) = -cos θ

§  cosec (180°- θ) = cosec θ

§  sec (180°- θ)= -sec θ

§  tan (180°- θ) = -tan

§  cot (180°- θ) = -cot θ

Our NCERT Solutions Class 10 Maths Chapter 8 Introduction to Trigonometry contains all of the necessary information in a very concise format for easy learning and recall. For last-minute exam preparation and revision, you should use our NCERT solutions. While preparing for exams such as JEE Mains, JEE Advance, NTSE, Olympiad, and other similar exams, our experts at Sarthaks recommend that you go through the entire solution.