2.4.1: Resources and Key Concepts

Math 373: Trigonometry for Calculus · LibreTexts

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    From LibreTexts, under not declared, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    Resources

    Key Concepts

    Common Mistakes

    • Confusing Expressions with Equations: Expressions do not have equals signs and are simplified, whereas equations have equals signs and are solved.
    • Treating Different Angle Variables as Like Terms: Trigonometric functions with different angle variables, such as \(\cos(t)\) and \(\cos(w)\), are not like terms and cannot be combined.
    • Forgetting Absolute Value with Square Roots: The square root of a squared expression is its absolute value, not just the expression itself. For example, \(\sqrt{\tan^2(\theta)} = |\tan(\theta)|\), not just \(\tan(\theta)\).
    • The Trouble with Technology:
      • Graphs can be deceiving; two different graphs may appear identical unless you zoom in.
      • If the graphs of the two sides of an equation are different, the equation is not an identity.
      • You cannot use a graph to prove that an equation is an identity, only to show it is plausible or to disprove it.

    This page titled 2.4.1: Resources and Key Concepts was last modified on Sun, 31 Aug 2025 22:21:37 GMT and is shared under a not declared license and was authored, remixed, and/or curated by Roy Simpson.