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Scientific Calculator

Trigonometry, Logs & Powers

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    Beyond the Four Functions

    A scientific calculator adds the trigonometric, logarithmic, and exponential tools that engineering, physics, chemistry, and higher math depend on every day.

    Degrees vs. Radians

    A full circle is 360° or 2π radians. Most real-world angle measurements (navigation, construction, geometry class) use degrees, while calculus and physics formulas almost always use radians — the DEG/RAD toggle keeps you in control.

    Logs, Roots & Powers

    log is base-10, ln is base-e (natural log), and x^y handles any exponent — together they cover the vast majority of scientific and engineering calculations.

    Key Formulas

    \[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]
    \[ n! = n \times (n-1) \times \cdots \times 1 \]
    \[ \log_{10}(10^x) = x \]

    Key Takeaways

    • Check your angle mode first. The single most common trig mistake is calculating in the wrong DEG/RAD mode.
    • Exponentiation is right-associative. An expression like 2^3^2 evaluates as 2^(3^2), matching standard mathematical convention.
    • Domain errors are caught early. Square roots of negative numbers, logs of non-positive numbers, and factorials of non-integers all produce clear error messages.
    • Still no eval(). Every scientific function is resolved by the same hand-written parser used in our Basic Calculator.

    Frequently Asked Questions

    1. Tap number and operator keys to build your expression, just like a standard calculator.
    2. Use the function keys (sin, cos, log, , etc.) to insert a function call — the calculator adds the opening parenthesis for you.
    3. Toggle DEG/RAD to switch how trigonometric functions interpret their input.
    4. Press = to evaluate the full expression.

    In DEG mode, trig functions treat their argument as degrees (e.g. sin(90) = 1). In RAD mode, the argument is treated as radians (e.g. sin(π/2) = 1). Mixing them up is one of the most common trigonometry mistakes, so the current mode is always shown on its own toggle button.

    x^y inserts the general exponent operator so you can raise any base to any power, including decimals and negative numbers. is a shortcut that appends ^2 directly, since squaring is by far the most common exponent used in everyday and scientific math.

    Factorial is only mathematically defined for non-negative integers (0, 1, 2, 3…). Entering a negative number or a decimal before ! produces a clear validation error rather than an incorrect result, since (-1)! and 2.5! have no standard elementary definition.

    Yes. Like our Basic Calculator, this tool never passes your input to eval() or any code interpreter. A dedicated recursive-descent parser recognizes only digits, the supported function names, and the mathematical operators — anything else is rejected with an error before any calculation happens.

    Logarithms are only defined for positive real numbers — there is no real exponent you can raise 10 (or e) to that produces zero or a negative result. The calculator flags these inputs immediately instead of returning NaN or -Infinity.

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