All about Trigonometry

Trigonometry is a branch of mathematics that studies the relationship between the
sides and angles of a right-angled triangle. It uses trigonometric ratios to find the
missing or unknown angles or sides of a triangle.




Trigonometric ratios

●​ Sine: The ratio of the opposite side to the hypotenuse
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●​ Cosine: The ratio of the adjacent side to the hypotenuse
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●​ Tangent: The ratio of the opposite side to the adjacent side
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●​ Cosecant: The ratio of the hypotenuse to the opposite side
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●​ Secant: The ratio of the hypotenuse to the adjacent side
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●​ Cotangent: The ratio of the adjacent side to the opposite side




Trigonometric formulas

●​ sin θ = Opposite Side/Hypotenuse
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●​ cos θ = Adjacent Side/Hypotenuse
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●​ tan θ = Opposite Side/Adjacent Side
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●​ sec θ = Hypotenuse/Adjacent Side
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●​ cosec θ = Hypotenuse/Opposite Side
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●​ cot θ = Adjacent Side/Opposite

, Trigonometric functions are also used to find the length of an arc of a circ


Hipparchus (180–125 BC) is known as the "father of trigonometry".

He was a Greek astronomer, mathematician, and geographer.




Basic Trigonometry Formulas




S.no Property Mathematical value



1 sin A Perpendicular/Hypotenuse



2 cos A Base/Hypotenuse