恒等式

恆等式
héngděngshì
noun #70,770

Meanings

  1. 1 identity (mathematics)
  2. 2 an equation true for all values of its variables

Examples

HSK 6
Zhèngmíng zhège héngděngshì xūyào yòngdào èrxiàngshì dìnglǐ.
Proving this identity requires the binomial theorem.
HSK 7-9
Sānjiǎo héngděngshì shì gāozhōng shùxué de zhòngdiǎn zhīyī.
Trigonometric identities are a key topic in high school math.

Tips

usage
Distinguish 恒等式 (identity, true always: sin²x + cos²x = 1) from 方程 (equation, true for specific values: x + 1 = 2). Math teachers stress this - students often confuse them.
memory
(constant/always) + (equal) + (formula): the 'always-equal formula'. The middle distinguishes it from 等式 (equality) - adding makes it eternally equal.

Stroke Order

héng
děng
shì