Math

Power Reducing Calculator Trigonometric Function sin²(x)cos²(x)tan²(x)sin³(x)cos³(x)sin⁴(x)cos⁴(x)sin(x)cos(x)sin²(x)cos²(x) Angle Variable Output Format Exact FormDecimal ApproximationBoth Simplification Level BasicIntermediateAdvanced Original Expression input Power-Reduced Form Formula Used Step-by-Step Solution Calculate Reset Copy Result Trigonometry often involves working with powers of sine, cosine, or tangent. While these expressions can look complicated, they can be simplified using power-reducing identities. The Power…

Coterminal Angle Calculator Input Angle degreesradians Number of Coterminal Angles 5 angles10 angles15 angles20 angles Direction Both positive and negativePositive onlyNegative only Reference Angle degrees Standard Position (0° to 360°) degrees Coterminal Angles Click Calculate to see coterminal angles Calculate Reset Copy Result In trigonometry, coterminal angles are angles that share the same terminal side…

Fraction to Percent Calculator Convert fractions to percentages with detailed calculations Fraction (a/b) Decimal Number Mixed Number Enter Fraction Numerator: / Denominator: Enter Decimal Number Decimal: Enter Mixed Number Whole: Numerator: / Denominator: Conversion Formula: Percentage = (Numerator ÷ Denominator) × 100% Calculate Reset Result: Percentage: Input Information: Calculation Steps: Alternative Representations: Visual Representation: Copy…

Arctan Calculator Calculate the inverse tangent (arctan or tan⁻¹) of any number Enter Value (x): Can be any real number (positive, negative, or zero) Output Unit: Radians Degrees Both Definition: arctan(x) = tan⁻¹(x) = θ such that tan(θ) = x Range: -π/2 < arctan(x) < π/2 (-90° < arctan(x) < 90°) Calculate Reset Result: Arctan...

Arc Length Calculator Calculate the arc length of a circle using radius and central angle Radius + Central Angle Diameter + Central Angle Radius (r): cmmmminchesfeetkm Diameter (d): cmmmminchesfeetkm Central Angle (θ): Degrees (°)Radians (rad) Formulas: Arc Length = r × θ (when θ is in radians) Arc Length = (r × θ × π)…

Absolute Value Calculator Calculate the absolute value (modulus) of any real number Enter Number: Can be positive, negative, decimal, or zero Definition: |x| = x if x ≥ 0, |x| = -x if x < 0 The absolute value is the distance from zero on the number line Calculate Reset Result: Absolute Value: Calculation Details:...

Double Angle Calculator Calculate trigonometric functions for double angles (2θ) Enter Angle (θ): Degrees (°)Radians (rad) Enter the angle θ to calculate double angle formulas Double Angle Formulas: sin(2θ) = 2sin(θ)cos(θ) cos(2θ) = cos²(θ) – sin²(θ) = 2cos²(θ) – 1 = 1 – 2sin²(θ) tan(2θ) = 2tan(θ) / (1 – tan²(θ)) Calculate Reset Results: Input…

Area of a Semi Circle Calculator Calculate the area of a semicircle (half circle) Enter Radius (r): cmmmminchesfeetkm Enter the radius of the semicircle Formula: Area = (π × r²) ÷ 2 where π ≈ 3.14159 and r is the radius r center Calculate Reset Result: Semicircle Area: Calculation Details: Related Measurements: Copy Result Common…

Calculate the natural logarithm (ln) of a number Enter Number (x): Must be a positive number (x > 0) Formula: ln(x) = logₑ(x) where e ≈ 2.71828 (Euler’s number) Calculate Reset Result: Natural Logarithm: Calculation Details: Additional Information: Copy Result Common Natural Logarithm Values: ln(1) = 0 ln(e) = 1 ln(e²) = 2 ln(10) ≈…

Calculate the unit vector and magnitude of a vector Vector Components i: j: k: 2D Vector (i, j) 3D Vector (i, j, k) Vector = i⃗ + j⃗ + k⃗ (for 3D) or Vector = i⃗ + j⃗ (for 2D) Calculate Reset Results: Original Vector: Magnitude: Unit Vector: Calculation Steps: Copy Result Unit Vector Formulas:…