Practice Questions on Law of Sin and Cos

Q1. Find the value of side a, if the two angles of a triangle are ∠A = 45° and ∠B = 30° and the side between them is b = 6 cm.

Q2. Find the missing side of a triangle having other two sides 12 cm and 9 cm with the angle between them equal to 60°.

Q3. Find the missing side of a triangle having other two sides 11 cm and 5 cm with the angle between them equal to 45°.

Q4. Find the value of side a, if the two angles of a triangle are ∠A = 30° and ∠B = 90° and the side between them is b = 20 cm.

Law of Sine and Cosine

Law of Sine and Cosine are the basic laws or rules used in trigonometry that are used to give the relation between sides and angles of the triangle. In this article, we will learn about the Law of Sine (Sine Rule), Sine Rule Formula, Law of Cosine (Cosine Rule), Cosine Rule Formula, and others in detail.

Table of Content

  • What is Law of Sines(Sine Rule)?
  • What is Law of Cosine(Cosine Rule)?
  • Law of Sine and Cosine Formula
  • Examples Using Law of Sine and Cosine
  • Practice Questions on Law of Sine and Cosines

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What is Law of Sine?

Law of Sine Formula or Sine rule is the ratio of sides and angles of a given triangle. The law of sines formula is generally used to evaluate the unknown sides or angles of a triangle. The sine rule or law of sine is the fundamental rule of trigonometry, that is used to form trigonometric problems....

What is Law of Cosine?

Law of cosine or Cosine Rule relates the lengths of sides and Cosines of Angles of the given triangle. The Law of Cosine states that “Square of any one side of a triangle is equal to the difference between the sum of squares of other sides and double the product of other sides and cosine angle included between them.”...

Law of Sine and Cosine Formula

The formula of Law of sine and cosine is tabulated below:...

Examples on Law of Sine and Cosine

Example 1: Find the missing side of a triangle having its two sides 12 cm and 8 cm with the angle between them measuring 60°....

Practice Questions on Law of Sin and Cos

Q1. Find the value of side a, if the two angles of a triangle are ∠A = 45° and ∠B = 30° and the side between them is b = 6 cm....

FAQs on Law of Sine and Cosine

What is Law of Sine?...

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