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trig

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find the exact values of the six trig functions of theta equals six pi divided by 8

  • trig -

    6π/8 radians = 135°
    135° is in quadrant II
    The reference angle of 135° is 45°
    45° is found in the 1-1-√2 right-angled triangle
    In quadrant II , the sine and cosecant are positive

    so
    sin (6π/8) = 1/√2 , csc (6π/8) = √2
    cos (6π/8) = -1/√2 , sec (6π/8) = -√2
    tan (6π/8) = -1 , cot (6π/8) =-1

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