theta= 90 degrees
theta=180 degrees
I know you have to use the unit circle but how?
theta=180 degrees
I know you have to use the unit circle but how?
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the X and Y coordinates of 90 degrees on the unit circle are X = 0 and Y = 1 So the adjacent side = 0 and the opposite side = hypotenuse = 1
so sine 90 degrees = 1/1= 1
cos 90 degrees = 0/1 = 0
tan 90 degrees = 1/0 = infinity
At 180 degrees Y = 0, X = adjacent side =hypotenuse = -1
so sine 180 degrees = 0/-1 =0
cos 180 degrees = -1/1 = -1
tan 180 = - infinity
so sine 90 degrees = 1/1= 1
cos 90 degrees = 0/1 = 0
tan 90 degrees = 1/0 = infinity
At 180 degrees Y = 0, X = adjacent side =hypotenuse = -1
so sine 180 degrees = 0/-1 =0
cos 180 degrees = -1/1 = -1
tan 180 = - infinity
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The Unit Circle measures angles in radians, not degrees.
360° = 2π radians, so 90° = π/2 radian and 180° = π radian.
The Unit Circle associates a point with each value of θ. The x-coordinate is cosθ; the y-coordinate is sinθ.
For example, when θ = π/6, the coordinates of the point are ((√3)/2, 1/2).
sin(π/6) = 1/2
cos(π/6) = (√3)/2
tan(π/6) = sin(π/6)/cos(π/6) = 1/√3 = (√3)/3
csc(π/6) = 1/sin(π/6) = 2
sec(π/6) = 1/cos(π/6) = 2/√3 = (2√3)/3
cot(π/6) = 1/tan(π/6) = √3
360° = 2π radians, so 90° = π/2 radian and 180° = π radian.
The Unit Circle associates a point with each value of θ. The x-coordinate is cosθ; the y-coordinate is sinθ.
For example, when θ = π/6, the coordinates of the point are ((√3)/2, 1/2).
sin(π/6) = 1/2
cos(π/6) = (√3)/2
tan(π/6) = sin(π/6)/cos(π/6) = 1/√3 = (√3)/3
csc(π/6) = 1/sin(π/6) = 2
sec(π/6) = 1/cos(π/6) = 2/√3 = (2√3)/3
cot(π/6) = 1/tan(π/6) = √3