SOLUTION: ind a standard positive angle θ, given that θ is in quadrant III and has a reference angle of 26 degrees ′

Question 1171876: ind a standard positive angle θ, given that θ is in quadrant III and has a reference angle of 26 degrees
′
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.

RELATED QUESTIONS
ind a standard positive angle θ, given that θ is in quadrant III and has a reference... (answered by CubeyThePenguin)

If the tangent of an angle is positive and the secant of the angle is negative, in which... (answered by MathLover1,Alan3354,math_tutor2020,MathTherapy)

Find cos(z) and sin(z) if z is an angle in quadrant III (in standard position) and the... (answered by jim_thompson5910)

if -849 degrees is in standard position, determine a coterminal angle that is between 0... (answered by rfer)

sin x<0 Is it in Quadrant I, Quadrant II, Quadrant III, Quadrant IV, or a Quadrant... (answered by stanbon)

The one false statement is; a. The sine of an angle in the second quadrant is the sine... (answered by stanbon)

Given cot A=9/4 and that angle A is in Quadrant III, find the exact value of the sun A in (answered by Alan3354)

Determine the measure of the positive angle with measure less than 360� that is... (answered by stanbon)

Determine 2 positive and 2 negative angles for a terminal arm with a related acute angle... (answered by greenestamps)