What is the exact value of (sin^2 (7π/6))+(sec(π/3))?

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  • 3 years ago
    Favorite Answer

    The sine of 7*pi/6 is -1/2,

    whose square is +1/4,

    and the secant of pi/3 is +2,

    so the sum is 9/4.

  • Como
    Lv 7
    3 years ago

    1/4 + 2 = 2 ¼

  • alex
    Lv 7
    3 years ago

    rule

    sin(π + a) = -sin(a)

  • Mike G
    Lv 7
    3 years ago

    (-1/2)^2 + 2

    = 9/4

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  • ted s
    Lv 7
    3 years ago

    2.25

  • 3 years ago

    sec(pi/3) = 1/cos(pi/3). As pi/3 or 60 degrees is one of the special angles you should know, then you should know what the value of cos(pi/3) is.

    7pi/6 is pi + pi/6. It's pi/6 or 30 degrees below the negative x-axis. Its sine is the negative of the sine of pi/6. Again, that's a special angle that you're supposed to know the sine for.

    So just plug in the values of cos(pi/3) and sin(pi/6).

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