Practice Problems on Trigonometry
1. Given a right triangle ABC where angle A is 90∘, angle B is 30∘, and the hypotenuse AC is 10 units long. Find the lengths of side AB (adjacent to angle B) and side BC (opposite to angle B).
2. Prove that sin2θ+cos2θ= 1 for any angle θ.
3. From the top of a 50-meter tall building, the angle of elevation to the top of a nearby building is 15∘. If the buildings are 100 meters apart on the ground, find the height of the second building.
4. Solve the equation tan(x) = 3 for x, where x is measured in degrees, and 0∘≤x<360∘.
Trigonometry in Maths: Table, Formulas, Identities and Ratios
Trigonometry is a branch of mathematics that explores the relationships between the ratios of the sides of a right-angled triangle and its angles. The fundamental ratios used to study these relationships are known as trigonometric ratios, which include sine, cosine, tangent, cotangent, secant, and cosecant.
The term “trigonometry” is a 16th-century Latin derivative and the concept was given by the Greek mathematician Hipparchus. Trigonometry word is formed from ancient Greek words “trigonon” and “metron” which mean triangle and measure respectively, thus collectively called Trigonometry which means measures of a triangle.
The most important topics in trigonometry are trigonometry table, trigonometry formulas, trigonometric identities, and trigonometric ratios. In this article, we will see the basics of trigonometry, including its fundamental identities and formulas.
Table of Content
- Introduction to Trigonometry
- What is Trigonometry?
- Trigonometry Definition
- Trigonometry Basics
- All Trigonometry Functions
- Even and Odd Trigonometric Functions
- Odd Trigonometric Functions
- Even Trigonometric Functions
- Trigonometric Ratios
- Trigonometry Angles
- Trigonometry Chart
- Trigonometry Table
- How to Remember Trigonometry Table?
- Applications of Trigonometry
- Trigonometry Formulas
- 1. Pythagorean Trigonometric Identities
- 2. Sum and Difference Identities
- 3. Double angle Identities
- 4. Half Angle Identities
- 5. Product Sum Identities
- 6. Product Identities
- 7. Triple Angle Identities
- Unit Circle
- Trigonometry Identities
- Euler’s Formula for Trigonometry
- Trigonometry Real-Life Examples
- Trigonometry Solved Examples
- Practice Problems on Trigonometry
- Trigonometry Class 10 PDF