Class 10 Best Trigonometry Formulas

Class 10 Important Trigonometric Formulas

You must revise these formulas with time to time to increasing problem solving skills. The basic trigonometry formulas is given below:

Trigonometric Ratios

There are basic six ratios in trigonometry that help in establishing a relationship between the ratio of sides of a right triangle with the angle. If θ is the angle in a right-angled triangle, formed between the base and hypotenuse, then

• sin θ = Perpendicular/Hypotenuse
• cos θ = Base/Hypotenuse
• tan θ = Perpendicular/Base

Trigonometry Ratio Formulas

• sin θ = Opposite Side/Hypotenuse
• cos θ = Adjacent Side/Hypotenuse
• tan θ = Opposite Side/Adjacent Side
• cot θ = 1/tan θ = Adjacent Side/Opposite Side
• sec θ = 1/cos θ = Hypotenuse/Adjacent Side
• cosec θ = 1/sin θ = Hypotenuse/Opposite Side

Formulas Involving Pythagorean Identities

• sin²θ + cos²θ = 1
• tan²θ + 1 = sec²θ
• cot²θ + 1 = cosec²θ

You must see this : Polynomial Important Formula Class 9

Sine and Cosine Law:

• a/sinA = b/sinB = c/sinC
• c² = a² + b² – 2ab cos C
• a² = b² + c² – 2bc cos A
• b² = a² + c² – 2ac cos B

Here a, b, c are the lengths of the sides of the triangle and A, B, and C are the angle of the triangle.

Degree Value Table

Some Trigonometry Identities

• sin²θ + cos²θ = 1
• tan²θ + 1 = sec²θ
• cot²θ + 1 = cosec²θ

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