The given angle may be in degrees or radians. As you can see from the figure above, the reference angle is always less than or equal to 90°,even for very large angles. Since the angle 160° 160 ° is in the second quadrant, subtract 160° 160 ° from 180° 180 °. In our scenario 545 – 360 = 185. Just use our easy to read chainsaw chain reference conversion chart below and you too can quickly decipher and reference your chain part number. Therefore, the measure of the reference angle is 60 degrees. Right triangle trigonometric ratio charts. To find the value of sine, cosine and tangent at non-acute angles (from 90 to 360), first draw the angle on the unit circle and find the reference angle. Find the numerical value of the tangent. 0 to π/2 - first quadrant, so reference angle = angle , π/2 to π - second quadrant, so reference angle = π - angle , π to 3π/2 - third quadrant, so reference angle = angle - π , 3π/2 to 2π - fourth quadrant, so reference angle = 2π - angle . Finding the reference angle. Next, locate the angle in either quadrant I, II, III or IV. If A is an angle in standard position, its reference angle A r is the acute angle formed by the x axis and the terminal side of angle A. The reference angle is defined as the acute angle between the terminal side of the given angle and the x axis. The given angle may be in degrees or radians. Note how the reference angle always remain less than or equal to 90°, even for large angles. What is the reference angle to an angle in standard position? The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. Find Reference Angle. Here at Lil' Red Barn, we think it should be easy to reference your current chain to other brands.

See figure below. Provides other memory aids for the values of trigonometric ratios for these "special" angle values, based on 30-60-90 triangles and 45-45-90 triangles.

160° 160 °. Two or more coterminal angles have the same reference angle. To compute the measure (in degrees) of the reference angle for any given angle theta, use the rules in the following table. 180°− 160° 180 ° - 160 °. For graphing, the angle's initial side is the positive x-axis; its terminal side is the green line, because angles are drawn going anti-clockwise.The curved green line shows the given angle. Step 3: Determine the angle measure of the triangle formed How to use reference angles to find the sine, cosine and tangent of non-acute angles? Use the following rules to determine the reference angle, given the quadrant. A reference angle always uses the x-axis as its frame of reference. Solving for the reference angle in degrees is much easier than trying to determine a trig function for the original angle. Subtract 160 160 from 180 180. The rule is that if the angle is greater than 360°, subtract 360 in succession until the angle is smaller than 360°. Quadrants and angles - Radians. ! ! ! EXCLAMATION MARK " " " " "

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