what is the complementary angle of 13pi/37?

(in radians)

show work please

i will be awarding best answer

4 Answers

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  • 7 months ago
    Favorite Answer

    Complementary angles combine to form a right angle (90° or π/2 radians)

    So to find the complementary angle, subtract from π/2:

    π/2 - 13π/37

    Get a common denominator of 74:

    (37/37) * π/2 - (2/2) * 13π/37

    = 37π/74 - 26π/74

    Now subtract the numerators:

    (37π - 26π) / 74

    = 11π / 74

  • 7 months ago

    (pi/2 - 913pi/37) = -(1789 π)/74

  • 7 months ago

    pi - 13pi/37 =>

    24pi/37 is the complementary angle

  • 7 months ago

    Complementary angles add up to 90°.  In terms of radians, this is (1/2)π radians.

    So if we have the complementary angle an unknown "x", we can set up an equation that we can solve:

    (13/37)π + x = (1/2)π

    Multiply both sides by 74 to get rid of the fractions:

    26π + 74x = 37π

    Subtract 26π from both sides:

    74x = 11π

    Divide both sides by 74:

    x = (11/74)π radians.

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