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Once your account is created, you'll be logged-in to this account. Find values of sin 18, cos 18, cos 36, sin 36, sin 54, cos 54 Last updated at Dec. 24, 2019 by Teachoo Learn All Concepts of Chapter 2 Class 11 Relations and Function - FREE. cosd(90) ans = 0 cos(pi/2) ans = 6.1232e-17 Cosine of complex angles specified in degrees. Solution. √3 2 3 2. Cosine has a value 1 at zero degrees and a value of -1 at 180 degrees. Select angle type of degrees (°) or radians (rad) in the combo box. So instead of a circle having 360 degrees, it has 2ð radians. The cosine of a 90-degree angle is equal to zero, since in order to calculate it we would need a triangle with two 90-degree angles, which is the definition of a straight line. Use our cos(x) calculator to find the cosine of -360 degrees - cos(-360 °) - or the cosine of any angle in degrees and in radians. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. In the trigonometric functions sin θ, cos θ, tan θ, csc θ, sec θ and cot θ, if the angle θ is greater than or equal to 360°, we have to do the following steps. Values of Trigonometric ratios for 0, 30,45, 60 and 90 degrees. Select angle type of degrees (°) or radians (rad) in the combo box. Sine, Cosine, and Tangent Table: 0 to 360 degrees Degrees Sine Cosine Tangent Degrees Sine Cosine Tangent Degrees Sine Cosine Tangent 0 0.0000 1.0000 0.0000 60 0.8660 0.5000 1.7321 120 0.8660 ‐0.5000 ‐1.7321 1 0.0175 0.9998 0.0175 61 0.8746 0.4848 1.8040 121 0.8572 ‐0.5150 ‐1.6643 In the given triangle, AB = BC = AC. Learn vocabulary, terms, and more with flashcards, games, and other study tools. In order to calculate cos(x) on the calculator: Enter the input angle. Since it makes sense to start at 0 degrees, our circle will look like this: Fig 4. Use the definition of cosine to find the known sides of the unit circle right triangle. ENTER THE DOMAINS AS INEQUALITIES Cos(60) = -0.95241 assuming that angles are measured in radians, as would be done by most mathematicians. {\displaystyle \cos (360^ {\circ }-t)=\cos (-t)} or YouTube video. 360 degrees is a full turn and as an improper fraction it is 360/1 degrees Also the sine of an angle is the cosine of the complementary angle. Here since tan is negative in II quadrant, we put negative sign, Now Trigonometric table for 120 to 180 is given by, $\sin (120) = \sin (180 -60) =\sin 60= \frac {\sqrt {3}}{2}$, $\cos (120) = \cos (180 -60) =- \cos 60= – \frac {1}{2}$, $\tan 120 = \frac {\sin 120}{\cos 120} = -\sqrt {3}$, $\sin (135) = \sin (180 -45) = \sin 45= \frac {1}{\sqrt {2}}$, $\cos (135) = \cos (180 -45) =- \cos 45= -\frac {1}{\sqrt {2}}$, $\tan 135 = \frac {\sin 135}{ \cos 135} = -1$, $\tan 180 = \frac {\sin 180}{\cos 180} = 0$, $\csc 120 = \frac {1}{\sin 120} = \frac {2}{\sqrt 3}$, $\cot 120 = \frac {1}{\tan 120} = – \frac {1}{\sqrt 3}$, $\csc 135 = \frac {1}{\sin 135} = \sqrt 2$, $\sec 135 = \frac {1}{\cos 135} = -\sqrt 2$, Now Trigonometric table for 210 to 270 is given by, $\sin (210) = \sin (180 +30) =- \sin 30= -\frac {1}{2}$, $\cos (210) = \cos (180 +30) =- \cos 30=-\frac {\sqrt {3}}{2}$, $\tan (210) = \frac {\sin 210}{ \cos 210} = \frac {1}{\sqrt {3}}$, $\sin (225) = \sin (180 +45) =- \sin 45= -\frac {1}{\sqrt {2}}$, $\cos (225) = \cos (180+45) =- \cos 45= -\frac {1}{\sqrt {2}}$, $\tan 225 = \frac {\sin 225}{\cos 225} = 1$, $\sin (270) = \sin (180 +90) =- \sin 90= -1$, $\cos (270) = \cos (180+90) =- \cos 90= 0$, $\tan 270 = \frac {\sin 270}{\cos 270} = -\frac {1}{0}$ Undefined value, $\csc (210) = \frac {1}{\sin (210)} = -2$, $\sec (210) = \frac {1}{\cos (210)}=-\frac {2}{\sqrt 3}$, $\cot (210) = \frac {1}{\tan (210)} = \sqrt {3}$, $\csc (225) = \frac {1}{\sin 225}= -\sqrt {2}$, $\sec (225) = \frac {1}{\cos 225}= -\sqrt {2}$, Now Trigonometric table for 300 to 360 is given by, $\sin (300) = \sin (360 -60) =- \sin 60=-\frac {\sqrt {3}}{2}$, $\cos (300) = \cos (360-60) =\cos 60=\frac {1}{2}$, $\tan (300) = \frac {\sin 300}{\cos 300} = -{\sqrt {3}}$, $\sin (315) = \sin (360 -45) =- \sin 45= -\frac {1}{\sqrt {2}}$, $\cos (315) = \cos (360-45) =\cos 45= \frac {1}{\sqrt {2}}$, $\tan 315 = \frac {\sin 315}{ \cos 315} =- 1$, $\tan (360) = \frac {\sin 360}{\cos 360} = 0$, $\csc (300) = \frac {1}{\sin (300)}=-\frac {2}{\sqrt 3}$, $\cot (300) = \frac {1}{\tan 300} = -\frac {1}{\sqrt {3}}$, How to calculate the trigonometric ratios of negative of the angle from 0 to 360, This is quite simple.Just remember this single thing, $\cos( x) = \cos (-x)$ and $\sec(x) = \sec(-x)$, $\sin (x) = – \sin(-x)$ , $\csc (x) = – \csc (-x)$, $\tan (x) = – \tan (-x)$ , $\cot (x) = – \cot(-x)$, $\cos (-120) = \cos (120) = \cos (180 -60) =- \cos 60 = -\frac {1}{2}$, $\sin (-120)= – \sin(120) = – \sin 60 = – \frac {\sqrt {3}}{2}$, We have explained everything is terms of degrees, same thing can be done in radian form also. //Www.Youtube.Com/Playlist? list=PLJ-ma5dJyAqogqcBOQk-1kbwyOzpLu17u the cosine of complex angles specified in degrees C language radians the sign of value. 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