Right Triangle Trig Calculator
Find opposite and adjacent sides from angle and hypotenuse
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Right Triangle Trig Formula
opposite = h sin(θ), adjacent = h cos(θ)
Right triangle trigonometry uses sine and cosine to break the hypotenuse into perpendicular side components. The formulas require an acute angle.
⚠ Enter an angle greater than 0° and less than 90°. Hypotenuse must be positive.
How Right Triangle Trig Works
The hypotenuse is the longest side of a right triangle. Sine gives the opposite component, while cosine gives the adjacent component.
Hypotenuse
The longest side of the triangle.
Opposite
Found with h sin(θ).
Adjacent
Found with h cos(θ).
Acute Angle
The input angle must be under 90°.
💡 Example: For θ=30° and h=10, opposite=5 and adjacent=8.660254.
Applications of Right Triangle Trigonometry
Heights Distances Construction Physics
Frequently Asked Questions
What is a right triangle trig calculator?▼
It uses an acute angle and hypotenuse to find opposite and adjacent side lengths.
What formulas does it use?▼
It uses opposite = hypotenuse × sin(θ) and adjacent = hypotenuse × cos(θ).
How do I use this calculator?▼
Enter an acute angle in degrees and the hypotenuse, then click Calculate.
Can the angle be 90 degrees?▼
No. The input angle should be an acute angle between 0 and 90 degrees.
Where is right triangle trigonometry used?▼
It is used for heights, distances, slopes, construction, navigation, and physics problems.
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