Trigonometric Ratios of Complementary Angles

What are Complementary Angles in Trigonometric Ratios?

Complementary angles are the set of two angles where their sum is equal to 90°. For example, 40° and 50° are complementary to each and their sum is equal to 90°.

What is Significance of Trigonometric Ratios?

Trigonometric ratios play a crucial role in various fields such as physics, engineering, architecture, and astronomy. They help solve problems related to distances, angles, and forces.

What are Complementary Angles?

Complementary angles are the pair of angles whose sum is equal to 90 degrees.

What is Complementary Angle Theorem?

Complementary Angles theorem states that, “If two angles are complements of the same angle (or congruent angles), then the two angles are congruent in itself.”



Trigonometric Ratios of Complementary Angles

Trigonometry ratios of complementary angles are the ratios related to trigonometry when their angles are complementary. Complementary angles are angles when the sum of angles is 90 degrees. Suppose we have two angles ‘a’ and ‘b’ that are complementary, then if sin a = x then sin b = y now cos a = y and cos b = x.

In this article, we will learn about Trigonometric Ratios, Complementary Angles, Trigonometric Ratios of Complementary Angles, Examples, and others in detail.

Table of Content

  • What are Trigonometric Ratios?
  • What are Complementary Angles?
  • Trigonometric Ratios of Complementary Angles Formula
  • Trigonometric Ratios of Complementary Angles – Examples

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What are Trigonometric Ratios?

Trigonometric ratios are essential mathematical functions that describe the relationships between the angles and sides of a right-angled triangle. These ratios are derived from the lengths of the sides of a triangle and the measurements of its angles, especially in the context of a right triangle, which has one angle measuring 90 degrees....

What are Complementary Angles?

Complementary angles are pairs of angles that, when added together, result in a sum of 90 degrees. In essence, they complement each other to form a right angle. The definition is fundamental in geometry, providing a basis for understanding the relationships between angles within geometric figures....

Trigonometric Ratios of Complementary Angles Formula

In a right-angled triangle, if two angles are complementary (their sum is 90 degrees), the trigonometric ratios of one angle are directly related to the complementary angle’s ratios....

Trigonometric Ratios of Complementary Angles – Examples

Some examples of complementary angles in trigonometric ratio are,...

FAQs on Trigonometric Ratios of Complementary Angles

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