Tangent Calculator
tan(θ) equals opposite/adjacent, which is also sin(θ)/cos(θ) wherever cosine is not zero.
Tangent is opposite/adjacent, or the slope of the terminal ray on the unit circle.
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Example problems
How this solver works
- Evaluate using the exact table or numeric sine and cosine.
Formula
Undefined when cos θ = 0.
Worked examples
tan(45°)
- 1
Answer: 1
Common mistakes
tan(90°)
Undefined. Cosine is zero, so the ratio has no real value.
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Frequently asked questions
Why is tan(45°) = 1?
At 45° the opposite and adjacent sides of an isosceles right triangle are equal.