Calculate sinh, cosh, tanh, sech, csch, and coth.
Last updated: June 2026 | By Patchworkr Team
Hyperbolic functions are the exponential analogs of circular trig functions.
cosh^2(x) - sinh^2(x) = 1.
Verify the identity at x = 1.
1. sinh(1) ≈ 1.1752
2. cosh(1) ≈ 1.5431
3. cosh^2(1) - sinh^2(1) ≈ 1
Final answer: identity verified
Are these periodic?
No. They grow exponentially rather than repeating.
What happens at x = 0?
sinh(0) = 0, cosh(0) = 1, tanh(0) = 0.
Why is cosh always >= 1?
Because it is the average of two positive exponentials.
What is csch at zero?
It is undefined, so the calculator shows infinity.
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