In the mathematical formula, what do ch, sh stand for?

Updated on educate 2024-04-29
14 answers
  1. Anonymous users2024-02-08

    sh stands for hyperbolic sine function, which is generally denoted as sinh, but can also be abbreviated as sh.

    ch stands for hyperbolic cosine function, which is generally denoted as cosh, but can also be abbreviated as ch. The hyperbolic sine function and the hyperbolic cosine function are the two most basic hyperbolic functions, from which the hyperbolic tangent function can be derived.

    The hyperbolic sine function is defined as: sinh=(e-e) 2. When the absolute value of x is large, the graph of the hyperbolic sinusoidal function approaches the curve y=e 2 in the first quadrant and the curve y=-e 2 in the third quadrant.

    When x=0, sinhx=sinh0=0. The hyperbolic cosine function is defined as: cosh=(e+e) 2.

    When x=0, cosh0=1 is the minimum value of the function.

  2. Anonymous users2024-02-07

    sh: hyperbolic sine is often written as sinh

    ch: hyperbolic cosine is often written as cosh

    shx=(e^x-e^(-x))/2

    chx=(e^x+e^(-x))/2

  3. Anonymous users2024-02-06

    sh: hyperbolic sine, ch: hyperbolic cosine.

    shx=(e^x-e^(-x))/2

    chx=(e^x+e^(-x))/2

    This is just the same as sinx cosx.,It's just a symbol.。

  4. Anonymous users2024-02-05

    In the mathematical formula, SH (hyperbolic sine), CH (hyperbolic cosine), TG or Tanh (hyperbolic tangent), CTH or COTH (hyperbolic cotangent), Sech (hyperbolic secant), CSCH or Cosech (hyperbolic cosecant)...

    It's a bit esoteric, I don't know if you can understand it.

  5. Anonymous users2024-02-04

    sh: hyperbolic sine, ch: hyperbolic cosine.

  6. Anonymous users2024-02-03

    SH hyperbolic sine, CH hyperbolic cosine, nothing difficult, just symbols.

  7. Anonymous users2024-02-02

    sh stands for hyperbolic sinusoidal function.

    It is generally written as sinh, but it can also be abbreviated as sh.

    ch stands for hyperbolic cosine function.

    It is generally written as cosh, but it can also be abbreviated as ch. The hyperbolic sine function and the hyperbolic cosine function are hyperbolic functions.

    The two most basic stool hailstones are derived, from which the hyperbolic tangent function can be derived.

    Wait. The hyperbolic sine function is defined as: sinh=(e-e) 2. When the absolute value of x.

    When it is very large, the graph of the hyperbolic sinusoidal function is in the first quadrant.

    It is close to the curve y=e 2 within and y=-e 2 within the third quadrant. When x=0, sinhx=sinh0=0. The hyperbolic cosine function is defined as:

    cosh=(e+e)/2。When x=0, cosh0=1 is the minimum value of the function.

  8. Anonymous users2024-02-01

    The formula for ch and sh: shx=(e x-e (-x)). sh refers to hyperbolic sine, imitation ant sheng often notes as hyperbolic cosine, and standing old as cosh.

    Hyperbolic functions are a class of trigonometric functions that are common to the world.

    Also called circular function). The most basic hyperbolic functions are the hyperbolic sine function sinh and the hyperbolic cosine function cosh, from which the hyperbolic tangent function tanh and so on can be derived, and their derivation is similar to that of trigonometric functions. The inverse function of a hyperbolic function.

    This is called the inverse hyperbolic function.

    The domain of the hyperbolic function is the interval, and the value of its independent variable is called the hyperbolic angle. Hyperbolic functions appear in the solution of some important linear differential equations, such as defining catenary lines.

    and the Laplace equation.

  9. Anonymous users2024-01-31

    The "sh" and "ch" in the mathematical notation represent hyperbolic functions. where ch=cosh, sh=sinh.

    ch is the hyperbolic cosine function in the elementary function chz= coshz=(e z+e (-z)) 2.

    y=shx is the hyperbolic sine function in the elementary function shx=(e x-e -x) 2

    Parity: sh(-x)=[e -x+e -(x)] 2=shx, odd function.

    Proof process: shx=(e x-e -x) 2

    sh(-x)=(e^-x-e^x)/2=-shx

    Therefore, the function shx is an odd function.

  10. Anonymous users2024-01-30

    This is the symbol for the hyperbolic function, which sh denotes.

    Hyperbolic sine, CH denotes hyperbolic cosine.

    In mathematics, hyperbolic functions are a class of functions that are similar to common trigonometric functions, also called circular functions. The most basic hyperbolic functions are the hyperbolic sine function sinh and the hyperbolic cosine function cosh, from which the hyperbolic tangent function tanh, etc., can be derived, and their derivation is similar to that of trigonometric functions. The inverse function of the hyperbolic function is called the inverse hyperbolic function.

    The domain of a hyperbolic function is a real number, and the value of its argument is called a hyperbolic angle. Hyperbolic functions appear in the solution of some important linear differential equations, such as the definition of catenary lines and the Laplace equation.

  11. Anonymous users2024-01-29

    sh,ch denotes hyperbolic function.

    sh(x) is the hyperbolic sine function and ch(x) is the hyperbolic cosine function.

    The details are as follows: sh(x)=(exp(x)-exp(-x)) 2, ch(x)=(exp(x)+exp(-x)) 2.

    Both meet the following criteria:

    1. The two are each other's derivatives and original functions.

    2. The second derivative of both is itself.

    3. Hyperbolic sine is an odd function, and hyperbolic cosine is an even function.

  12. Anonymous users2024-01-28

    sh,ch denotes the symbol of the hyperbolic function, sh(x) is the hyperbolic sine function, and ch(x) is the hyperbolic cosine function.

    The details are as follows: sh(x)=(exp(x)-exp(-x)) 2, ch(x)=(exp(x)+exp(-x)) 2.

    Both meet the following criteria:

    1. The two are each other's derivatives and original functions.

    2. The second derivative of both is itself.

    3. Hyperbolic sine is an odd function, and hyperbolic cosine is an even function.

  13. Anonymous users2024-01-27

    is hyperbolic sine and hyperbolic cosine hyperbolic sine sh(x) = (exp(x)-exp(-x)) 2 hyperbolic cosine ch(x) = (exp(x)+exp(-x)) 2 Note: exp(x) denotes the x power of e.

  14. Anonymous users2024-01-26

    This is the symbol for hyperbolic functions. SH stands for hyperbolic sine and ch stands for hyperbolic cosine!

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