Can a sine be greater than 1 explain

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August undefined, 2024

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 … WebBest 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 , …

trigonometry - Can the value of sin theta be greater than 1 ...

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 … chuck filter

Explain why the sine or cosine of an acute angle cannot be greater than ...

WebFeb 17, 2016 · They can be equal to the hypotenuse, so you can get results of the sine and cosine functions being equal to one. However, the opposite side of a triangle can definitely be larger than the adjacent ... 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 radius 1. Thus we get sin 90 = 1 and cos 90 is the x coordinate so it is thus defined as zero. WebIs the quotient of 1 2 ÷ 2 3 \frac{1}{2} \div \frac{2}{3} 2 1 ÷ 3 2 greater than or less than 1? Explain your reasoning. Math. Algebra; Question. Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1 1 … chuck financial services

2.3.9: Trigonometric Functions of Angles Greater than 360 Degrees

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 28, 2024 · The trigonometric function gives the ratio of different sides of a right-angle triangle.The value of sine and cosine will be always less than a unit.. What are Trigonometric functions? The trigonometric function gives the ratio of different sides of a right-angle triangle.. where perpendicular is the side of the triangle which is opposite to … chuck figiel towsonWebWhen I'm solving trigonometric equations, I occasionally end up with a sine or cosine that's greater than $1$ -- and not on the unit circle. For example, today I had one that … chuck finders willys

"WebMar 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, … " - Can a sine be greater than 1 explain

Can a sine be greater than 1 explain

WebA: The sine of any acute angle is equal to the cosine of its complement.The cosine of any acute angle…. Q: If the sine of an angle is 817, what is the cosine of the angle's … 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 ...

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WebAuthor has 1K answers and 188.3K answer views 1 y. sine= [math]\frac {opposite} {hypotenuse} [/math] cosine= [math]\frac {adjacent} {hypotenuse} [/math] The … http://www.biology.arizona.edu/biomath/tutorials/trigonometric/trigbasics.html

WebJan 27, 2015 · 1 Answers. The value of sin (x) is pinned between -1 and + 1. It can be -1 at 270° ± k·360° (where k is any integer). It can be +1 at 90° ± k·360° (where k is any … WebThe 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 …

WebOct 15, 2024 · The values of sin and cos becomes less than 1 because When we divide the leg and hypotenuse we get smaller value than 1 The value of cosec and sec becomes greater than 1 because cosecant function always produces values bigger than 1. Its value always greater than 1. Step-by-step explanation: Given that the values of sin and cos … WebJan 25, 2024 · Can 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 hypotenuse of a right triangle is longer than each leg. O C. No, the hypotenuse of a right triangle cannot …

WebNow, no point on the circle can be more than 1 from the center; the most the sine and cosine can be is 1 (or –1). What about bigger circles? Then the sine is the ratio of the …

WebWe know that C must be greater than a I can see in this record of a B. Because I partner to the triangle must be greater than all the other legs. ... If $\theta$ is an acute angle, explain why $0<\sin \theta<1$ 00:26. Explain why a triangle cannot have two right angles. 00:40. Explain why a triangle cannot have two obtuse angles. 01:04. design with firehttp://www.biology.arizona.edu/biomath/tutorials/trigonometric/trigbasics.html designwithfrank.comWebFree download math homework help gauthmath apk app. Solving maths questions by real live tutors. Snap the question by using mobile phone camera, app Gauthmath will read … design with flowers and leavesWebSince the hypotenuse of a right triangle is always greater than any leg of that right triangle, the quotient defining the sine is always less than 1 1 1, and therefore the sine cannot … chuck findley mouthpieceWebExplain 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 ... design with fpgaWebMar 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 ∘ ... design with forms as well as patternsWebCan 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... chuck findley trumpet