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Cofunctions of Complementary Angles definitions

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  • Cofunction
    A trigonometric function paired with another, where their values at complementary angles are equal.
  • Complementary Angles
    Two angles whose measures add up to 90 degrees, often found in right triangles.
  • Cofunction Identity
    A relationship showing that a function's value at an angle equals its cofunction's value at the complementary angle.
  • Right Triangle
    A triangle with one 90-degree angle, making the other two angles complementary.
  • Sine
    A trigonometric function whose cofunction is cosine, related through complementary angles.
  • Cosine
    A trigonometric function paired with sine as its cofunction, values equal at complementary angles.
  • Tangent
    A trigonometric function whose cofunction is cotangent, linked by complementary angles.
  • Cotangent
    A trigonometric function paired with tangent as its cofunction, values equal at complementary angles.
  • Secant
    A trigonometric function whose cofunction is cosecant, related through complementary angles.
  • Cosecant
    A trigonometric function paired with secant as its cofunction, values equal at complementary angles.
  • Complementary Angle Theorem
    A principle stating that cofunctions of complementary angles yield equal values.
  • Radian
    A unit for measuring angles, where pi/2 radians is equivalent to 90 degrees.
  • Algebraic Manipulation
    The process of rearranging equations, such as adding, subtracting, or dividing terms, to solve for variables.
  • Variable
    A symbol representing an unknown value, often solved for in trigonometric equations using cofunction identities.
  • Expression
    A mathematical phrase involving trigonometric functions and angles, often rewritten using cofunction identities.