Cosine Calculator

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°
cos(θ)cos(θ) = 0.5 (positive)
0.5
QuadrantI (0° to 90°)
SignPositive
General solutionθ = ±60° + 360°k (k = ...,-1,0,1,...)
sin(θ)0.8660254
tan(θ)1.73205081
0.5
Negative (Q2/Q3)<-0.5Negative-0.5-0Positive0-0.5Positive (Q1/Q4)0.5+

cos(60 degrees) = 0.5.

  • Cosine is the x-coordinate of the point on the unit circle at angle θ, so it always stays in the range -1 to 1.
  • Here sin(θ) = 0.866025 and tan(θ) = 1.73205081, showing all three primary trig ratios for this angle.
  • The angle lands in quadrant I (0° to 90°), where cosine is positive.
  • Cosine is an even function: cos(-θ) = cos(θ), so the sign of the angle does not change the result.

Next stepUse the general solution field to find every angle that gives this same cosine value.

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