<a href='/Trigonometry'>Trigonometry</a> is a branch of <a href='/Mathematics'>mathematics</a> that studies the relationships between the <a href='/Sides'>sides</a> and <a href='/Angles'>angles</a> of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>. It is used to calculate unknown <a href='/Angles'>angles</a> and distances in any triangle when some of the information is known.
<a href='/Trigonometry'>Trigonometry</a> is a branch of <a href='/Mathematics'>mathematics</a> that studies the relationships between the <a href='/Sides'>sides</a> and <a href='/Angles'>angles</a> of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>. It is used to solve problems involving lengths, <a href='/Angles'>angles</a>, and areas of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>, as well as other geometric shapes. <a href='/Trigonometry'>Trigonometry</a> is also used to calculate the lengths of arcs and the areas of circles and other curved shapes.<br><br><a href='/Trigonometry'>Trigonometry</a> is based on the study of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>, which are three-sided shapes with three <a href='/Angles'>angles</a>. The <a href='/Angles'>angles</a> of a triangle are measured in degrees, and the lengths of the <a href='/Sides'>sides</a> are measured in units such as inches or centimeters. The three <a href='/Angles'>angles</a> of a triangle always add up to 180 degrees.<br><br><a href='/Trigonometry'>Trigonometry</a> is used to calculate the lengths of the <a href='/Sides'>sides</a> of a triangle when the <a href='/Angles'>angles</a> and one side are known. This is known as the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. This means that if two <a href='/Angles'>angles</a> and one side of a triangle are known, the other two <a href='/Sides'>sides</a> can be calculated.<br><br><a href='/Trigonometry'>Trigonometry</a> is also used to calculate the area of a triangle when the lengths of its <a href='/Sides'>sides</a> are known. This is known as the Law of Cosines. The Law of Cosines states that the square of the length of a side of a triangle is equal to the sum of the squares of the other two <a href='/Sides'>sides</a>, minus twice the product of the other two <a href='/Sides'>sides</a> multiplied by the cosine of the angle between them. This means that if the lengths of the <a href='/Sides'>sides</a> of a triangle are known, the area can be calculated.<br><br><a href='/Trigonometry'>Trigonometry</a> is also used to calculate the lengths of arcs and the areas of circles and other curved shapes. This is known as the Law of Tangents. The Law of Tangents states that the ratio of the length of an arc to the tangent of its central angle is constant. This means that if the central angle of an arc is known, the length of the arc can be calculated.<br><br><a href='/Trigonometry'>Trigonometry</a> is an important branch of <a href='/Mathematics'>mathematics</a> that is used to solve many problems involving lengths, <a href='/Angles'>angles</a>, and areas of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>, as well as other geometric shapes. It is used to calculate the lengths of <a href='/Sides'>sides</a> of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>, the areas of <a href='/Tri<a href='/Angles'>angles</a>'>tri<a href='/Angles'>angles</a></a>, the lengths of arcs, and the areas of circles and other curved shapes. <a href='/Trigonometry'>Trigonometry</a> is an essential tool for engineers, architects, and other professionals who need to calculate the dimensions of objects.