The equation of sin is a mathematical formula that has been around for centuries. It’s used to calculate the sine value of an angle, given in degrees. There are three ways to use this equation: with radians and two trigonometric identities, namely Taylor series and half-angle formulas. But when does it equal zero? If you’re trying to figure out how to use this equation, it’s important to know when it equals 0 so you don’t get confused and make mistakes in your calculations! In this article we will discuss what the equation of sin is and when does it equal zero
In mathematics, the word “sine” can refer either to one side or both sides of the right triangle whose angle we’re finding the sine value for. It can also refer to a trigonometric function that maps angles of a right triangle onto whole numbers or an equation used in calculus and related disciplines, such as physics, engineering, and statistics. When does sin equal zero? And what is it when it doesn’t?
Sin takes on values between −∞ and +∞ (inclusive), so “0” isn’t really one of its possible outputs. For instance, if you have ∠AOB with θ = 45° then sin(θ) equals 0 because tan(θ) = cos(45°). In this case, sin would be undefined at any other angle besides 45 degrees. That’s not to say that “sin(0)” is undefined, just sin’s value at angle 0°.
The equation of sin can be written as:
y=asinx+√{sinx-cosx}/√{sinx² + cosx²}. In this equation, x represents the sine input (i.e., an angle in a right triangle) and y equals the output (the point on the graph). The values for x are restricted to angles between -π and π where pi = ± ± 180ˆ. If you plug in any number outside these bounds, then it will result in infinity when trying to find its square root or when taking tan(θ), since there are no values that will work.
Another example of when sin equals 0 is when the angle is 90˚ and it happens twice on a graph, as shown in Figure A below:
∠AOB = ∠BOC + ∠COD where θ = 45° (i.e., tan(θ) ≈ cosine). In this case, you get for y:
y=asin(45°)+√{sin(45°)-cos(45°)}/√{sin²+(cos²)(90ˆ-π)} ≈ -0.577+(-0.517)/[-0.517]² ≈ -0.577
In conclusion, the equation of sin is when the input (x) and output (y) are related by either:
sin(x)=cos(y) or y=asin(tan(θ))+√{sin²+(cos²)(90ˆ-π)} where θ = π/180°-45˚ or 0 to 45˚ for x and cosine ranges from -0.0000˜to +0.0000 with an additional range of ± 180° in radians and sine function has a wider range than 90ˆ which goes up to ∞ but never down below zero. Furthermore, this article was written as a tutorial on how to find when sin equals 0 when the input (x) and output (y) are related by sin(x)=cos(y).
The Equation of Sin: When Does It Equal 0? – Tutorial on Finding When Sin = 0 | The Complexities in Learning Math In High School Blogs.org
This article will teach you how to find out if a graph has an angle where cosine=sinusoid or not using trigonometric equations. Figure A below shows that there are two angles at 45 degrees with y-values as shown below for this example: ∠AOB =∠BOC+∠BOD.
AOB = 90 ˆ∠ABD; BOC=90ˆ∠BCE, and ∠BOD=45ˆ∠CDF, so when you put these values in the equation Cos(y)=-Sinusoid or 0x+0 y + (cosine of 45 degrees)=sinusoid because it is true for multiple angles that are not adjacent to one another on the graph which means that sinusoids can be found at many different points along with a single trigonometric function. If this doesn’t make sense right away don’t worry! Trigonometry equations will all start making more sense as we go through them together.
One thing to keep note of is that when you graphed this equation, the y-values for these two points were not all positive. Some of them are negative and some of them are even less than zero! For a function to be equal to 0x+0y + (cosine of 45 degrees)≠sinusoid it can’t contain any solutions with an absolute value under 0 or greater than π/√π.
Figure A: This graph shows many angles where sin(y)=0 because they have cosines which make their sine values equal to 0. If there was no pattern in this graph then we would only see one angle at 90ˆ∠ABD on the x-axis but there’s multiple so, therefore, sin(y) equals 0 at all of them.
Figure B: This graph shows many angles where sin(y)=0 because they have cosines which make their sine values equal to 0. If there was no pattern in this graph then we would only see one angle at 90ˆ∠ABD on the x-axis but there’s multiple so, therefore, sin(y) equals 0 at all of them.
