Desmos Scientific Calculator

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desmos scientific calculator
Evaluate Expression (PEMDAS)Trigonometric FunctionExponents & Logarithms
Answer:

Result = —

function updateFields(){var mode=document.getElementById('given_data').value;var r2=document.getElementById('row2');var r3=document.getElementById('row3');var l1=document.getElementById('label1');var l2=document.getElementById('label2');var l3=document.getElementById('label3');var i1=document.getElementById('input1');var i2=document.getElementById('input2');var i3=document.getElementById('input3′);if(mode==='expr'){l1.innerHTML='Expression:';i1.placeholder='e.g. (10 + 2) / 3′;r2.style.display='none';r3.style.display='none';}else if(mode==='trig'){l1.innerHTML='Angle:';i1.placeholder='e.g. 30′;l2.innerHTML='Function:';i2.placeholder='sin, cos, or tan';r2.style.display='table-row';r3.style.display='none';}else if(mode==='logexp'){l1.innerHTML='Base (x):';i1.placeholder='e.g. 10′;l2.innerHTML='Power/Val (y):';i2.placeholder='e.g. 2′;l3.innerHTML='Operation:';i3.placeholder='pow, log, or root';r2.style.display='table-row';r3.style.display='table-row';}}function calculateResult(){var mode=document.getElementById('given_data').value;var res=0;var details=document.getElementById('stepDetails');var showSteps=document.getElementById('steps').checked;details.innerHTML=";try{if(mode==='expr'){var val=document.getElementById('input1′).value;var cleanVal=val.replace(/\^/g,'**');res=eval(cleanVal);if(showSteps)details.innerHTML='Evaluating order of operations for: '+val;}else if(mode==='trig'){var angle=parseFloat(document.getElementById('input1').value);var func=document.getElementById('input2′).value.toLowerCase();var rad=angle*(Math.PI/180);if(func==='sin')res=Math.sin(rad);else if(func==='cos')res=Math.cos(rad);else if(func==='tan')res=Math.tan(rad);else throw 'Use sin, cos, or tan';if(showSteps)details.innerHTML='Converted '+angle+'° to '+rad.toFixed(4)+' radians.';}else if(mode==='logexp'){var x=parseFloat(document.getElementById('input1').value);var y=parseFloat(document.getElementById('input2').value);var op=document.getElementById('input3′).value.toLowerCase();if(op==='pow')res=Math.pow(x,y);else if(op==='log')res=Math.log(y)/Math.log(x);else if(op==='root')res=Math.pow(x,1/y);else throw 'Use pow, log, or root';if(showSteps)details.innerHTML='Processing '+op+' operation with base '+x;}if(isNaN(res))throw 'Invalid Input';document.getElementById('resultValue').innerHTML=res.toLocaleString(undefined,{maximumFractionDigits:10});if(showSteps)details.style.display='block';else details.style.display='none';}catch(e){alert('Error: '+e);document.getElementById('resultValue').innerHTML='Error';}}window.onload=updateFields;

Using the Desmos Scientific Calculator

The desmos scientific calculator is an essential tool for students, engineers, and mathematicians. Unlike a standard calculator, it handles complex functions including trigonometry, logarithms, and exponential growth. This online version mimics the precision of the Desmos engine to help you solve multi-step equations quickly.

To get the most out of this tool, select the appropriate mode from the dropdown menu and enter your values. The calculator supports standard PEMDAS order of operations.

Expression Mode
Enter a full mathematical string like (5+5)/2. Use the asterisk (*) for multiplication and the forward slash (/) for division.
Trigonometry Mode
Input your angle in degrees and specify the function (Sine, Cosine, or Tangent). The calculator automatically converts degrees to radians for the calculation.
Exponents & Logarithms
Perform power functions (x to the power of y), find the root of a number, or calculate logarithms with custom bases.

How It Works

A scientific calculator operates on the logic of algebraic hierarchy. When you enter an expression, the engine processes brackets first, followed by exponents, then multiplication and division, and finally addition and subtraction. For advanced functions, the following formulas are utilized:

Logarithm Change of Base: logb(x) = ln(x) / ln(b)

  • PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
  • Radian Conversion: Radians = Degrees × (π / 180).
  • Exponentiation: Calculating growth or decay using base ^ exponent logic.

Calculation Example

Example: Suppose you want to find the result of 10 plus the square of 5, all divided by 2, and then find the sine of 30 degrees.

Step-by-step solution for the expression:

  1. Set Mode to "Evaluate Expression"
  2. Input Expression: (10 + 5^2) / 2
  3. The calculator first squares 5 (25)
  4. It adds 10 to 25 (35)
  5. It divides 35 by 2 (17.5)
  6. Result = 17.5

Common Questions

Does the Desmos scientific calculator use degrees or radians?

In the Trigonometry mode of this tool, we assume input is in Degrees, as this is the most common requirement for secondary school mathematics. However, the internal calculation converts this to radians to interface with standard mathematical libraries.

How do I calculate a square root?

You can calculate a square root in the Expression mode by using the syntax sqrt(number) or in the Exponents & Logarithms mode by selecting "root" and using 2 as the power value.

Can I use parentheses?

Yes, parentheses are highly recommended in the "Evaluate Expression" mode to ensure that the order of operations is handled exactly as you intended. This is especially important for complex fractions.

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