Question 1171876: ind a standard positive angle θ, given that θ is in quadrant III and has a reference angle of 26 degrees
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Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the reference angle is the equivalent angle in quadrant 1.
the equivalent angle in quadrant 3 will be 180 + that angle.
that makes the equivalent angle in quadrant 3 equal to 180 + 26 = 206 degrees.
being the equivalent angle, the value of its trig functions would be the same except for the sign, depending on the quadrant it is in.
in quadrant 3, the sine is negative and the cosine is negative and the tangent is positive.
sin(26) = .4383711468 and sin(206) = -.4383711468
cos(26) = .8987940463 and cos(206) = -.8987940463
tan(26) = .4877325886 and tan(206) = .4877325886
cosecant is the reciprocal of sine.
secant is the reciprocal of cosine.
cotangent is the reciprocal of tangent.
if sine is equal except for the sign, then so is cosecant.
if cosine is equal except for for the sign, then so is secant.
if tangent is equal except for the sign, then so is cotangent.
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