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Can a sine be greater than 1 explain

WebFirst, the the secant, cosecant, and cotangent functions are the reciprocals of the cosine, sine, and tangent functions, respectively. Second, there is no value for which the cosine … WebQuestion: Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1. Choose the correct answer below. ОА. side opposite angle A side adjacent to angle A ---and cos A= in a right triangle. Since the other two sides of a right triangle are smaller than the hypotenuse hypotenuse hypotenuse, these ratios are always less than …

Geometry: The Sine Ratio - InfoPlease

WebThe law of sines is a theorem about the geometry of any triangle. As any theorem of geometry, it can be enunciated. The algebraic statement of the law --. -- cannot be verbalized. sin A moreover, which is a number, does not have a ratio to a, which is a length. Secondly, to prove that algebraic form, it is necessary to state and prove it ... WebCan a sine ratio be greater than 1? Explain. A. Yes, the leg of one right triangle is sometimes longer than the other leg. B. Yes, the length of the hypotenu... hirsch md cardiology https://wjshawco.com

Why the Tangent Function Can be Greater Than 1, But the Sine

WebExplain why the sine and cosine of an acute angle are never greater than 1, but the tangent of an acute angle may be greater than 1. ... The longest side of a right triangle is hypotenuse, hence neither sine nor cosine can be greater than 1 whereas for right triangle when the opposite side is greater than the adjacent side, then the tangent for ... WebThe ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan). These are defined … WebFeb 18, 2024 · Reading about total internal reflection, and I understand that it occurs when the sine of the refracted angle is greater than 1. What I don't see is how you ever have a $\sin \theta > 1$. Jackson says . This means that $\theta$ is a complex angle with a purely imaginary cosine... how does this help explain it? homes recently sold in andrews nc

Law of sines - Wikipedia

Category:Trigonometric ratios in right triangles (article) Khan Academy

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Can a sine be greater than 1 explain

Can a sine be greater than 1? Explain. - Gauthmath

WebAuthor has 1K answers and 188.3K answer views 1 y. sine= [math]\frac {opposite} {hypotenuse} [/math] cosine= [math]\frac {adjacent} {hypotenuse} [/math] The … WebExplain why the sine or cosine of an acute angle cannot be greater than or equal to 1. Calculate the (modeled) probability P(E) using the given information, assuming that all …

Can a sine be greater than 1 explain

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WebYes. On the unit circle, the hypotenuse is always the radius, 1. We define the sine of the angle as the y coordinate, so at 90 degrees our coordinates are (0,1) and it equals the … WebThe ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan). These are defined for acute angle A A below: In these definitions, the terms opposite, adjacent, and hypotenuse refer to the lengths of the sides.

WebIn a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin. sin θ = opposite / hypotenuse. Sine, Cosine, Tangent. WebThe range of cscx is the same as that of secx, for the same reasons (except that now we are dealing with the multiplicative inverse of sine of x, not cosine of x).Therefore the range of cscx is cscx ‚ 1 or cscx • ¡1: The period of cscx is the same as that of sinx, which is 2….Since sinx is an odd function, cscx is also an odd function. Finally, at all of the points …

WebMar 28, 2024 · The value of sine of an angle can never be 2 let's understand it with the trigonometry concept. The formula for sin angle in a right -angled triangle is, sin = opposite / hypotenuse. From the Pythagorean theorem hypotenuse is, H² = P² + B². The hypotenuse is always greater than the other two sides. The maximum value of sin can be 1 only and ... WebSince both sin ⁡ θ \sin\theta sin θ and cos ⁡ θ \cos\theta cos θ is equal to a side of the triangle divided by the hypotenuse, all resulting values will be less than 1 1 1. Therefore, the conditions in step 5 5 5 is why the sine or cosine of an acute angle is …

WebDec 15, 2008 · The sine of an angle x is defined as the ratio of the opposing side to the hypotenuse, in a right triangle having x as one of its acute angles. If it was greater than 1, it would mean the opposing side was longer than the hypotenuse. Try to draw a right triangle with one of the sides longer than the diagonal. You'll notice it's impossible. So the sine … homes recently sold in bucks county pahttp://www.biology.arizona.edu/biomath/tutorials/trigonometric/trigbasics.html homes recently sold in berea ohioWebBest Answer. 100% (1 rating) A wave or a pendulum are examples of phenomena that take on a series …. View the full answer. Transcribed image text: You know that for any , … homes recently sold in chatham ilWebMar 9, 2024 · No and yes. No: If you let $\theta$ be an angle in a right angled triangle, we know that $\sin(\theta)$ is equal to $\frac{\text{Opposite}}{\text{Hypotenuse}}$.We know that the Hypotenuse is never shorter than the line Opposite the angle $\theta$, so this fraction can never exceed $1$.. Yes: You can use complex numbers. So if $\theta$ is complex, … hirsch md floridaWebMar 27, 2024 · Therefore 390 ∘ is coterminal with 30 ∘. As you saw above with negative angles, this means that 390 ∘ has the same ordered pair as 30 ∘, and so it has the same trig values. For example, cos 390 ∘ = cos 30 ∘ = 3 2. Figure 2.3.9. 1. In general, if an angle whose measure is greater than. 360 ∘ has a reference angle of 30 ∘, 45 ∘ ... homes recently sold in bethpageWebThe sine of A (which will be written sin A) is the ratio of the length of the side opposite A divided by the length of the hypotenuse; sin A = a / c. Because a c, sin A 1 (the only way … hirsch meats dallasWebSee Answer. Question: 10. Consider the definitions of the sine and cosine ratios. Why can their values never be greater than 1? Use the triangle below as reference to help you answer. COMMON CORE GEOMETRY, UNIT 8 -RIGHT TRIANGLE TRIGONOMETRY-LESSON. can someone please help me with 10, explain how you got your answer. … homes recently sold in canal fulton ohio