0
That is the definition. If you take your unit circle (a circle with radius 1 centered at the origin (0,0). you start at (1,0) and go counterclockwise around the circle 90° you end up at (0,1) that 0 is the cosine of the angle 90°
In fact, you don't even need the unit circle. Take a circle of any radius r, and draw a ray at 90 degrees. This will intersect the y-axis. So as above, the coordinates are (0,r) (instead of (0,1)) so cos(90 degrees)=x/r=0/r=0
What else can I help you with?
What is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
What is the formula for the y-intercept of a cosine function?
The Y-Intercept of the cosine function is X = 0, Y = cosine(0) = 1.
What is cos 450 degrees?
The cosine of 450 degrees can be found by first reducing it to an equivalent angle within the standard range of 0 to 360 degrees. Since 450 degrees is equal to 450 - 360 = 90 degrees, we find that cos(450 degrees) = cos(90 degrees). Therefore, cos(450 degrees) is equal to 0.
Why is sine 30 the same as cosine of 60?
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
What is cosine of 0 degree?
Cos(0) = 1
What is the cosine of -90?
Cosine of -90 is 0.
How is cos 90 equal to 0?
The Unit Circle is a circle that has a radius of 1 and a center at the origin. If you look at the unit circle 90 degrees is at the point (0,1). Cosine is equal to the x value of a point on the Unit Circle. The line created to the point (0,1) on the unit circle when the degree is 90 is completely vertical, which in turn makes the x value 0 and thus, cosine of 90 = 0. Read more >> Options >> http://www.answers.com?initiator=FFANS
What is the cosine of 90 degrees?
Cosine(90) = 0 NB Cosine(0) = 1 Cos(30) = 0.8669... Cos(45) = 0.7071... Cos(60) = 0.5 Cos(90) = 0 Cos(120) = -0.5 Cos(0135) = -0.7071... Cos(150) = -0.8660... Cos(180) = -1 NB #1 ; refer to your (scientific) calculator or #2 ; refer to Castles Four Figures Tables. NNB Note the negatives (-) between 90 & 180.
Why is cos (x) sin (90-x) for x such that 0 x 90?
The identity (\cos(x) = \sin(90^\circ - x)) arises from the co-function relationship in trigonometry. For angles in the range (0^\circ \leq x \leq 90^\circ), the sine of an angle is equal to the cosine of its complementary angle. Thus, when you replace (90^\circ - x) with (x) in the sine function, you obtain (\cos(x)). This relationship highlights the symmetry of the sine and cosine functions in a right triangle.
What is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
Law of cosines with a right angle?
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
What is the graphic representation of cosine function?
Just like the sine function displaced by pi/2. In other words the cosine equals 1 at 0 degrees, 0 at 90 degrees, -1 at 180 and so on.
What is cos 90?
Cosine of 90 degrees is zero.
What is the cosine of a ratio that has 0 as its numerator?
If the numerator is 0 AND the denominator is not 0, then the ratio is 0. And cosine of 0 is 1.
What is the value cosine 90?
Zero
What is the formula for the y-intercept of a cosine function?
The Y-Intercept of the cosine function is X = 0, Y = cosine(0) = 1.
How is the value of sine and cosine of complementary angles relate?
The sine and cosine of complementary angles are related through the identity (\sin(90^\circ - \theta) = \cos(\theta)) and (\cos(90^\circ - \theta) = \sin(\theta)). This means that the sine of an angle is equal to the cosine of its complementary angle, and vice versa. Therefore, for any angle (\theta), the values of sine and cosine are essentially swapped when considering complementary angles.
