# Why is sine 30 the same as cosine of 60?

For any similar triangle the ratio of the length of the sides remains the same. ... 30° 45° 60 ° 90° x in radians: 0: π ... The function sine (and cosine) ... - Read more

... as a bonus, the sine and cosine of 60°. (1) ... cos 30° = 0.8660254 = sin 60 ... the sides AB and AC are of the same length; ... - Read more

## Why is sine 30 the same as cosine of 60? resources

### High School Trigonometry/Defining Trigonometric Functions ...

The Sine, Cosine, and Tangent Functions ... We can also define the same functions in terms of angles of rotation. ... 30°, 45°, and 60°.

### Evaluating and Graphing Sine and Cosine - Windstream

... or at least be able to derive the sine and cosine of these special angles. ... while the Cos 30 o = x/r = Sin 60 o = y/r = ... It repeats the same graph every ...

### Trigonometry for Physics - Physics 24/7

... but θ is the same. ... sin-1 (0.60) = 37 ... Notice that the sine of one angle is equal to the cosine of the complementary angle.

### Formulas for Sine and Cosine - Math Forum - Ask Dr. Math

Why is the function sin theta defined by ... going to try to take the Sine or Cosine of a theta that's not ... have the same Sine as if theta were ...

### Difference between Cos and sin - Physics Forums

Can anyone tell me the difference btween cos and sin, and tell me when creating waveform why the sin ... A cosine wave is simply a sine wave ... the same, just out of ...

### Trigonometry, Right Triangles | Zona Land Education

0.8660 = sin(60 °) 0.5000 = cos(60 ... Why, for example, is the cosine of 30 degrees ... If you look carefully you will notice that the sine of angle B is the same ...

### The_trigonometry_functions - AMSI

You will see in the following exercise why this ... 60° and 420° have the same sine, cosine and ... the trigonometric ratios of the special angles 30 ...

### Sine and Cosine : nrich.maths.org - Home Page : nrich ...

The sine of an angle is equal to the cosine of its ... What do you notice and why does that ... $\sin 150 ^{\circ}= \cos 30 ^{\circ}$ \$\sin 150 ^{\circ}= \cos 60 ...

### Trigonometry/Sine Squared plus Cosine Squared - Wikibooks ...

If you look at the diagram in the next section it should be clear why. Sine and Cosine ... the ratios of the sides are the same ... As either sine squared or cosine ...

### Inverse Sine, Cosine, Tangent - Maths is Fun

Inverse Sine, Cosine, ... Here is Cosine and Inverse Cosine plotted on the same graph: ... But why does Inverse Cosine get chopped off at top and bottom ...

### 2. Sin, Cos and Tan of Sum and Difference of Two Angles

Contains the formulas for the trigonometrical ratios (sine, cosine and tangent) for the sum and difference of 2 angles. Also has examples of their use.

### Trigonometry and Geometry Conversions, Sin(A + B), Sin(A ...

Trigonometry and Geometry Conversions Ratios for sum angles. As the examples showed, sometimes we need angles other than 0, 30, 45, 60, and 90 degrees.

### The Sine and Cosine Functions - Overview - Math2.org

Sine and Cosine: Overview. The sine (abbreviated ... we will get the exact same value as if we divided the length of the side adjacent to that angle by the length of ...

### Sine, Cosine, Tangent - Maths is Fun

... but same idea. Right Triangle. Sine, Cosine and Tangent are all based on a Right ... what are the sine, cosine and tangent of 30° ? ... Why are these functions ...

### Cosines - Clark University

... √3 : 2. It follows that sin 30° = cos 60° = 1/2, and sin 60° = cos 30° = √3 ... 30. The cosine of A relates b to the hypotenuse c, so you can first ...

### Graphs of sin x and cos x - WordPress.com

A similar statement with sine replaced by cosine is also true. ... Say you are asked to sketch one cycle of the graph of cos(x 60 ). ... sinx and sin(x 30 ) (f) ...

### Sine Squared - Math Forum - Ask Dr. Math

What is sine squared, ... (30 degrees) you would compute the sine of 30 ... o / /_60_____/ The cosine of this 60 degree ...

### Sine-Cosine-Tangent - NASA

... (c = 60 degrees) = sin (c = 30 degrees ... That is why we call the ratio of the adjacent and the hypotenuse ... Here are tables of the sine, cosine, ...

### Sine-Cosine-Tangent - NASA

... (16 feet), and inclined at the same angle ... (c = 60 degrees) = sin (c = 30 degrees ... Since the sine, cosine, and tangent are all functions of the ...

### Trigonometry Basics, Sin, Cos, Tan Test - Math10.com

Test your basic trigonometry(sin, cos, tan) ... Sin 45 and tan 45 Sin 30 and cos 60 ... Which trigonometric ratio has the same trigonometric value as Sin A?

### Graphing the Sine and Cosine Functions - Monterey Institute

30° 45° 60 ° 90° 1. 120° 135° 150 ... The graphs of sine and cosine have the same shape: a repeating “hill and valley” pattern over an interval on the ...

### Exploration Guide: Sine, Cosine, and Tangent Gizmo ...

What is sin 30 °? Write your answer as a fraction. ... What is always true about sin 30 °? The Cosine Ratio. ... Explain why your answer makes sense.

### Trigonometric functions - Wikipedia, the free encyclopedia

... and another of the sides remains the same. ... (sin 0°, sin 30°, sin 45°, sin 60° and sin 90°) ... The values of sine, cosine and tangent of an angle of ...

### Why sin(30) = 1/2 | mathexcel

... sometimes we require students to learn the special values of sine, cosine and tangent at 30, 45, 60 ... do teachers just say "sin(30) ... Why sin(30 ...

### Motion Under Constant Acceleration 2D Motion

Why does 30 and 60 degrees give the same horizontal range? Another student correctly pointed out that this is merely a consequence that cosine 30 = sine 60 and sine ...

### c. Find the sine, cosine, and tangent of the 30??? angle ...

Find the sine, cosine, and tangent of the 30 angle in the lot. ... This is one of the reasons why this type of triangle (30,60,90) ... Questions asked by the same ...

### The 30°-60°-90° triangle. Topics in trigonometry.

The ratios of the sides in a 30-60-90 triangle. ... , sin 30° is equal to cos 60°. sin 30° = ½. ... The student should draw a similar triangle in the same ...

### Trigonometric functions of any angle. Topics in trigonometry.

The sine of an obtuse angle is equal to the sine of its supplement. The cosine of an obtuse angle is equal to the negative of the ... = −sin 30° = −½. e) sin ...

### Trigonometry Made Easy - Scribd

Sine Cosine Tangent Inverse vs. Reciprocal Functions ... A = 30° B = 60° A 30° If the sine of A equals the opposite ... This is why it is less confusing to use ...

### The Six Functions (Trig without Tears Part 2)

Learn the definitions of the six trig functions, not as six separate things but as sine, cosine, and combinations of sine and cosine (Stan Brown)

### Exact Values of the Sine and Cosine Functions

30-60-90 triangle, ... The ratio of the long sides :1 is the same proportion as the ... For sine and cosine measurements above 45 ...

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