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how to find reference angles in radians

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From Yahoo Answers

Question:State answer in radians. How to do that?

Answers:about 1.30 radians- 180- (1.84 x 180/pi) x pi/180

Question:i would like to find out how to solve this problem if an angle in a polygon is given as 15 o (degrees) what is the angle, measured in radians. i would like to find out in terms of pi thanks for your help

Answers:there are 180/pi degrees per radian, so cancel out the degrees units by doing 15 (pi/180)=pi/12 the answer is definetely pi/12 because 30 degrees is on the unit circle, and is pi/6

Question:Let's say -12(pie)/5 radians. How to find how many degrees they are and which quadrant does its terminal side lie?

Answers:A Circle = 2 Radian ( 2 pi Radian) = 360 = 2 Radian = 180 = Radian = 180 /( ) = 1 Radian = 1 Radian = 180 / -12 /5 Radian = -12 /5 x 180 / = -432 -432 + 360 = -72 ( turning clockwise more than a circle) 360 - 72 = 288 Answer: -12 /5 Radian equals -432 ; and equals -72 or 288 in 4th quadrant.

Question:7pie over 5?

Answers:7pi/5 + (2pi * k), where k is any integer not equal to 0

From Youtube

Reference Angle for an Angle, Ex 2 (Using Radians) :Reference Angle for an Angle, Ex 1 (Using Radians). In this video, I find the reference angle for a few angles that are measured in degrees.

How to Find Trigonometric Ratios Based On Reference Angle :htp://SkyingBlogger.Com - for more videos on Trigonometry. In this video we learn to find "Trigonometric Ratio" based on reference angle. To find trigonometric ratios based on reference angle we first should have the knowledge of trigonometric ratios that are Trigonometric ratio of Sin = P / H Trigonometric Ratios of Cos = B / H Trigonometric Ratios of Tan = P / B Trigonometric Ratios of Sec = H / B Trigonometric Ratios of Cot = B / P Trigonometric Ratios of Co sec = H / P These all trigonometric ratios we will be able to find when we take a reference angle. And in trigonometry inside a right angle triangle take any reference angle then longest or largest side is hypotenuse, sit of the reference angle is base and opposite of the reference angle is perpendicular. Keeping these all we can easily find the trigonometric ratios based on any reference angle. I hope you understand how to find the trigonometric ratios based on reference angle.