Trigonometric Ratio Formula

The six trigonometric ratio are sin θ, cos θ, tan θ, cosec θ, sec θ and cot θ. Each ratio can be calculated by using the ratio of sides of triangles. The three given sides of right right-angled triangle are the base, perpendicular, and hypotenuse sides.

Let’s take a triangle ABC, right-angled at B. Take ∠A = θ. Now the hypotenuse of the triangle is AC, the base is AB and the perpendicular side is BC.

Formula defined for calculating all six trigonometric ratio with respect to ∠A are:

• Sin θ = Perpendicular/Hypotenuse = BC/ AC
• Cos θ = Base/Hypotenuse = AB/ AC
• Tan θ = Perpendicular/ Base = BC/AB
• Cosec θ = Hypotenuse/Perpendicular = AC/BC
• Sec θ = Hypotenuse/Base = AC/AB
• Cot θ = Base/Perpendicular = AB/BC

Also, Relation between six Trigonometric Ratios are:

• tan θ = sin θ/cos θ
• cot θ = cos θ/sin θ
• sin θ = 1/cosec θ
• cos θ = sin θ/tan θ
• cos θ = 1/sec θ
• Sec θ = tan θ/sin θ = 1/cos θ
• Cosec θ = 1/sin θ

Also, we have,

• sec θ . cos θ = 1
• cosec θ . sin θ = 1
• cot θ . tan θ = 1

Also Check,

• Trigonometric Ratios
• Trigonometric Ratio of Complemantry Angles

Trigonometric Values are mathematical functions that relate the angles of a right triangle to the ratios of its sides. The primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan) whose values are derived using a right-angled triangle.

In this article, we are going to discuss what are trigonometric values, Definition of Trigonometric values, Trigonometric Ratio Formula, Trigonometric Value Table, and some Solved Examples based on trigonometric values.