Important Definitions & Formulas: Introduction to Trigonometry

# Important Definitions & Formulas: Introduction to Trigonometry Notes | Study Mathematics (Maths) Class 10 - Class 10

## Document Description: Important Definitions & Formulas: Introduction to Trigonometry for Class 10 2022 is part of Mathematics (Maths) Class 10 preparation. The notes and questions for Important Definitions & Formulas: Introduction to Trigonometry have been prepared according to the Class 10 exam syllabus. Information about Important Definitions & Formulas: Introduction to Trigonometry covers topics like Definitions and Formulas and Important Definitions & Formulas: Introduction to Trigonometry Example, for Class 10 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Important Definitions & Formulas: Introduction to Trigonometry.

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Definitions and Formulas

• An angle is positive if it is measured in the anticlockwise direction and negative if it is measured in the clockwise direction.
• In a right triangle ABC, right-angled at B

Reciprocal Relations

• If one of the trigonometric ratios of an acute angle is known, the remaining trigonometric ratios can be determined.
• Two angles are said to be complementary if their sum is 90°, and each one of them is called the complement of the other.
sin (90° - θ) = cos θ
cos (90° - θ) = sin θ
tan (90° - θ) = cot θ
cot (90° - θ) = tan θ
sec (90° - θ) = cosec θ
cosec (90° - θ) = sec θ
Trigonometric Identities

An equation with trigonometric ratios of an angle θ, which is true for all values of ‘θ’, for which the given trigonometric ratios are defined, is called an identity.
Three fundamental trigonometric identities are
(a) sin2θ + cos2θ = 1
(b) sec2θ = 1 + tan2θ
(c) cosec2θ = 1 + cot2θ

Table: Values of trigonometric ratios of 0°, 30°, 45°, 60° and 90°

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