Trigonometric Ratios Of Some Special Angles
NIOS · Class 10 · Maths
All formulas from Trigonometric Ratios Of Some Special Angles in NIOS Class 10 Maths. Key equations, constants, and identities for board exam preparation.
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Core definitions and right-triangle ratios
sin C = (side opposite to ∠C) / Hypotenuse
cosec C = Hypotenuse / (side opposite to ∠C)
cos C = (side adjacent to ∠C) / Hypotenuse
sec C = Hypotenuse / (side adjacent to ∠C)
tan C = (side opposite to ∠C) / (side adjacent to ∠C)
Special angles: 45°
OM = PM
OP^2 = OM^2 + PM^2
OP = √2·a units
Special angles: 30°
OP = OP′ = PP′ = 2a units
OM = √3·a units
sin 30° = 1/2
cos 30° = √3/2
tan 30° = 1/√3
Special angles: 60°
OP = PM′ = OM′ = 2a units
PM = √3·a units
sin 60° = √3/2
cos 60° = 1/2
tan 60° = √3
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