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Geometry · G-SRT

Trigonometric Ratios — sin, cos, tan

sin θ = opposite/hypotenuse; cos θ = adjacent/hypotenuse; tan θ = opposite/adjacent (SOH-CAH-TOA).

GeometryCommon Core HSG-SRT.C.6G-SRTVerified correct ✓

Worked examples

In a right triangle, the side opposite angle θ has length 16 and the side adjacent to angle θ has length 30. Find tan(θ). Express as a decimal rounded to 4 places.
Answer: 0.5333
In a right triangle, the side opposite angle θ has length 9 and the side adjacent to angle θ has length 12. Find tan(θ). Express as a decimal rounded to 4 places.
Answer: 0.75

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Special Right Triangles — 30-60-90 and 45-45-90

More Geometry topics

Angle Pairs — Supplementary, Complementary, VerticalInterior Angle Sum of a PolygonCoordinate Rules for TransformationsSide Ratios in Similar FiguresPythagorean Theorem — Find Missing SidesSpecial Right Triangles — 30-60-90 and 45-45-90Solve Right Triangles Using TrigCircle — Circumference and Area