Can a sine be greater than 1 explain
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 … 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 …
Can a sine be greater than 1 explain
Did you know?
WebMar 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 ∘ ...
WebMar 9, 2024 · Yes: You can use complex numbers. So if θ is complex, then it can exceed 1. For example, sin ( 1.57080 − 0.344701 i) = 1.06 (correct to 5dp at least). Presumably … WebSep 13, 2011 · Sine and cosine cannot be greater than 1 because they are the Y and X values of a point on the unit circle. Tangent, on the other hand, is sine over cosine, so its domain is (-infinity,+infinity), with an asymptote occurring every odd pi/2.
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 … 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?
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 …
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. solving right triangles practiceWebWhen 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 … solving right triangles calculatorWebFirst, 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 and sine functions are undefined. ... cos θ = x/ r and sin θ = y/r cannot be greater than 1 or less than −1, depending on whether x ... solving right triangles worksheet answer keyhttp://www.biology.arizona.edu/biomath/tutorials/trigonometric/trigbasics.html solving right triangles using trig worksheethttp://www.biology.arizona.edu/biomath/tutorials/trigonometric/trigbasics.html solving right triangles worksheetsWebSince 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 … solving row echelon form calculatorWebYes. 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 … small business administration organization