what is the terminal side of an angle The terminal side of an angle drawn in angle standard position is the side which isn t the initial side When viewing an angle as the amount of rotation about the intersection point the vertex needed to bring one of two intersecting lines or line segments into correspondence with the other the line or line segment towards which
The initial side of the angle is the positive x axis and the terminal side is the position where the angle ends after rotating To determine the terminal side of an angle we can use the given angle measure and rotate counterclockwise from the positive x The initial side is where the angle starts and the terminal side is the ray where the measurement of the angle stops therefore the terminal side defines the angle and if the vertex is at the origin 0 0 then the angle will be in Standard Position
what is the terminal side of an angle
what is the terminal side of an angle
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Find Trig Values Given A Point On The Terminal Side Of An Angle YouTube
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Given A Point On Terminal Side Of An Angle Find Six Trigonometric
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If the terminal side of an angle lies on one of the coordinate axes it is called a quadrantal angle Two angles in standard position are called coterminal if they share the same terminal side Drawing an angle in standard position always starts the same way draw the initial side along the positive x axis 77 7K subscribers 5 98 views 11 days ago trigonometry algebra Angle creation is a dynamic process We start with two rays lying on top of one another We leave one fixed in place and rotate
To place the terminal side of the angle we must calculate the fraction of a full rotation the angle represents We do that by dividing the angle measure in degrees by 360 For example to draw a 90 angle we calculate that frac 90 360 frac 1 4 For example if the point 3 1 is on the terminal side of the angle then we can use x 3 y 1 and r 3 2 12 10 and so cos 3 10 sin 1 10 tan 1 3 cot 3 1 sec 10 3 csc 10 1 The next two exercises will provide some practice with using these results
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The terminal side of an angle is the ray that starts at the initial side and rotates counterclockwise or clockwise if the angle is negative until it reaches the angle s final position The ray in the terminal position after the rotation is called the terminal side of the angle An angle created this way has a positive measure if the rotation was counterclockwise and a negative measure if the rotation was clockwise Figure An angle defined as the rotation of a single ray
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what is the terminal side of an angle - For example if the point 3 1 is on the terminal side of the angle then we can use x 3 y 1 and r 3 2 12 10 and so cos 3 10 sin 1 10 tan 1 3 cot 3 1 sec 10 3 csc 10 1 The next two exercises will provide some practice with using these results