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sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60)

= 1*cos(60) - 0*sin(60) = cos(60).

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Q: Why is sine 30 the same as cosine of 60?
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What is the cosine of a 60 degree angle?

60 degrees = 0.5 1/2


Is the cosine function an odd function?

No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected.Take, for example, cos(60 degrees), which equals POSITIVE 1/2.If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE 1/2.Now let's look at an odd function. For example, sin(30 degrees) equals POSITIVE 1/2. Now take the opposite of this.sin(-30 degrees), or sin(330 degrees), equals NEGATIVE 1/2. This is because it is found in the fourth quadrant, where the y's are negative. Sine of theta, by definition, is y divided by r. If y is negative, sine is negative.


What is the sine of 57degrees 12 minutes?

In angle measurement, 60 minutes = 1° 57° 12' = 57.2 ° Sin 57.2 = 0.84057 (5dp)


What is sin cos tan csc sec cot of 30 45 60 degrees?

Sin(30) = 1/2 Sin(45) = root(2)/2 Sin(60) = root(3)/2 Cos(30) = root(3)/2 Cos(45) = root(2)/2 Cos(60) = 1/2 Tan(30) = root(3)/3 Tan(45) = 1 Tan(60) = root(3) Csc(30) = 2 Csc(45) = root(2) Csc(60) = 2root(3)/3 Sec(30) = 2root(3)/3 Sec(45) = root(2) Sec(60) = 2 Cot(30) = root(3) Cot(45) = 1 Cot(60) = root(3)/3


What is a quadrantal angle?

A Quadrantal angle is an angle that is not in Quadrant I. Consider angle 120. You want to find cos(120) . 120 lies in quadrant II. Also, 120=180-60. So, it is enough to find cos(60) and put the proper sign. cos(60)=1/2. Cosine is negative in quadrant II, Therefore, cos(120) = -1/2.

Related questions

Why is cosine 60 sine 30?

If you look at the graphs of y=sin(x) and y=cos(x) you can see that the two sinusoidal curves are actually the same graph, but that one is just a shifted version of the other. This type of shift may be referred to as a phase shift. This shift allows certain values of sine and cosine to be equivalent, but to occur at different angle values. You may wish to experiment with other values to better understand the relationship between the two. Such as at 45 degrees: at this value cosine and sine are equal.


What is cosine of 60?

The cosine of 60 degrees is 0.5


The length of the hypotenuse of a 30-60 right triangle is 12 inches find the length of the side opposite the 30 angle?

Use the sine ratio: sine 30 = opposite/12 opposite = 12*sine 30 opposite = 6 inches


If an angle decreases from 60 degrees to 30 degrees the trigonometric function that decreases is the sine?

Yes, the sine decreases, and so does the tangent.


What is the cosine of a 60 degree angle?

60 degrees = 0.5 1/2


How do you find length of a hypotenuse of a 30 60 90 degree triangle is 7 cm what is the perimeter?

The length of the other two sides is 7 cosine (60) and 7 cosine (30)that is 3.5 and 6.062 cmthe perimeter = 7 + 3.5 + 6.062 = 16.562 cm


What is the sine of 0?

Sine (0) = 0 Sin(30) = 0.5 Sin(45) = 0.7071... Sin(60) = 0.8660.... Sin(90) = 1 Are just a few of the Sine(Trigonometric) values.


The hypotenuse of a 30 - 60 - 90 triangle measures 2 feet How long is the short leg of this triangle?

Use the sine ratio: sine 30 degrees = opposite/hypotenuse Then: opposite = 2*sine 30 degrees Answer: 1 foot


How to figure the length of one side of a triangle with only the length of the long side and some degrees?

you might be able to use tangent, sine, or cosine. you might be able to use the Pythagorean theorem, or you can used 30-60-90 triangle theorem or 45-45-90 triangle theorem


The hypotenuse of a 30-60-90 triangle has length 19 What is the length of the side opposite the 60 angle?

If the hypotenuse of a 30-60-90 triangle has a length of 19, the length of the side opposite the 60 degree angle is: 16.45. (the other leg would be 9.5)sine 60 degrees = opposite/hypotenuseOpposite = 19*sine 60 degreesOpposite = 16.45448267 or 16.45 units to two decimal places


Why ranges are equal at 30 degree and 60 degree?

At 30 degrees and 60 degrees, the sine values are equal. Since the range of a projectile depends on the initial vertical velocity (which is influenced by the sine of the launch angle), the ranges are equal at these angles as the vertical component of the initial velocity remains the same.


Is the cosine function an odd function?

No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected.Take, for example, cos(60 degrees), which equals POSITIVE 1/2.If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE 1/2.Now let's look at an odd function. For example, sin(30 degrees) equals POSITIVE 1/2. Now take the opposite of this.sin(-30 degrees), or sin(330 degrees), equals NEGATIVE 1/2. This is because it is found in the fourth quadrant, where the y's are negative. Sine of theta, by definition, is y divided by r. If y is negative, sine is negative.