Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreGraphs of Trigonometric Functions Find the value of sin 2 x , cos 2 x , tan 2 x(1) 0 (2) 24/5 (3) 24/5 (4) 48/5
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Quadrant 1 2 3 4 sin cos tan-To learn sign of sin, cos, tan in different quadrants, we rememberSec(θ)=√13/2 and θ is in quadrant 3 3 Giiven θ is in quadrant 2 sin(θ)=8/17 what is the csc(θ), and cot(θ) and cos(θ) 4 The terminal side of angle a passes through point P(3,4) Find Sin(A), Sec(A) and cot(A)
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13 14 Answers may vary For example, given P (x, y) on the terminal arm of angle , sin , cos , and tan 15 a) 25°, 155°, 5°, 335°The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions Their usual abbreviations are sin(θ), cos(θ) and tan(θ), respectively, where θ denotes the angle The parentheses around the argument of the functions are often omitted, eg, sin θ and cos θ, if an interpretation is unambiguously possibleSummary First Quadrant All are positive in this quadrant Second Quadrant Only sin is positive in this quadrant Third Quadrant Only tan is positive in this quadrant Fourth Quadrant Only cos is positive in this quadrant We now consider angles in cartesian plane
0 sin 2x = cos 2x = tan 2x = Trig 1 Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin0 sin 2x = cos 2x = tan 2x = pre calc Find the exact value of sin(xy) if sinx=3/5 in Quadrant III and cosy=5/13 in Quadrant IClick here👆to get an answer to your question ️ Find sin x2, cos x2, tan x2 in second quadrant, if tan x = 43
2 Find The Exact Values Of Sin(2𝑥), Cos(2𝑥), And Tan(2𝑥) If Cos𝑥=3/4 And 𝑥 Is In Quadrant I Please Show All Work!!Let's see the angles in different Quadrants In Quadrant 1, angles are from 0 to 90°You can remember the value of Sinelike this 0/√2, 1/√2, 2/√2, 3/√2, 4/√2 The row of cosine is similar to the row of sine just in reverse order Each value of tangent can be obtained by dividing the sine values by cosine as Tan = Sin/Cos
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In Quadrant 2, angles are from 90 to 180°Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorFind an answer to your question find sin x/2, cos x/2, tan x/2, if cos x= 1/4, x in quadrant iii
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2√2/3 Now A lies in the second quadrant where sin ratio is positive ∴ sin A = 2√2/3 Now, tan A = sin A/ cos A = (2√2/3) / ( 1/3)= – 2√2 sin B = – 1/3Find the Other Trig Values in Quadrant I cos(s)=3/4 Use the definition of cosine to find the known sides of the unit circle right triangle The quadrant determines the sign on each of the valuesTherefore In Quadrant II, cos(θ) 0, sin(θ) >
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If cos x = 2 / 3 and x is in quadrant 4, find a sin(x / 2) b cos(x / 2) c tan(x / 2) Get the answers you need, now!Start studying Quadrant 1 Sin, Cos, Tan Learn vocabulary, terms, and more with flashcards, games, and other study tools0 (Tangent positive) For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate
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If A lies in the third quadrant and 3 tan A – 4 = 0, then 5 sin 2A 3 sin A 4 cos A = ?Tan Points to note The graphs of sin and cos are periodic, with period of 360°The values of sin, cos, tan, cot at the angles of 0°, 30°, 60°, 90°, 1°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, 360°
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If tan 3 4 and lies in the second quadrant then sin 2 cos A 2 B 2 C 5 11 D 5 2 from NOTES 1 at HKU) Find sin 2x, cos 2x, and tan 2x from the given information tan x = − 1/6, cos x >Apr 4, 16 All the trig functions are positive in Quadrant 1 Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4
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0 3) 4) Find csc θ if cot θ = 35 and θ is in quadrant II 4) 5) Find sin θ if tan θ = 5 12 and cos θ >(we say that angle a is in Quadrant1) In all of the figures below, the lengths are normalized to the hypothenuse, ie the hypothenuse is always of length 10, and is shown as the radius of the unit circleSo, 𝑥/2 lies in Ist quadrant In Ist quadrant, sin , cos &
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1316If cosθ = 1/4 we need to find the sinθ So we have cos^2θ sin^2θ = 1 1/4^2 sin^2θ = 1 1/16 sin^2θ = 1 sin^2θ = 1 1/16 = 15/16 take the square root of both sidesGraphing sin, cos and tan The following are graphs of sin, cos &0221The angles in Sine Cosine Tangent are given in the order of 0°, 30°, 45°, 60°, and 90°
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1) Find sin θ if cos θ = 2 3 and θ is in quadrant IV 1) 2) Find tan θ if sin θ = 3 4 and s is in quadrant II 2) 3) Find sin θ if sec θ = 8 5 and tan θ <0610If tan x = 3÷4 wherex lies in third quadrant then find sin (x/2 ) , cos ( x/2) and tan (x/2) Get the answers you need, now!Question Find sin(2x), cos(2x), and tan(2x) from the given information cot(x) = 2/3, x in Quadrant I Answer by Alan3354() ( Show Source )
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The cosx=4/5, x lies in quadrant 4 Find sin x/2 3Determine all solutions in (0,2pie) for sin4xsin^2x=3, cot^2v(31)cotx=v(3), cos^2x=cosx, and tan^2x6tanx4=0 4 Solve;The trigonometric function are periodic functions, and their primitive period is 2 π for the sine and the cosine, and π for the tangent, which is increasing in each open interval (π /2 k π, π /2 (k 1) π) At each end point of these intervals, the tangent function has a(in other words the graphs repeat themselves every 360°) The graph of cos the same as the graph of sin though it is shifted 90°
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Sine, Cosine and Tangent in Quadrant 1 Let's place the right angle triangle on the standard cartesian axes for an angle a that is between 0°Click here👆to get an answer to your question ️ tanx = 4/3 , x in quadrant II Find the value of sinx/2, cosx/2, tanx/2 Join / Login >• csc 1 sin 13 5α α= = The two possible solutions for some of the trigonometric numbers correspond with the values of these numbers according to the quadrant in which the angle is situated Summary quadrant sin cos tan cot sec csc
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In Quadrant 3, angles are from 180°1302Misc 10 Find sin 𝑥/2, cos 𝑥/2 and tan 𝑥/2 for sin𝑥 = 1/4 , 𝑥 in quadrant II Given that x is in quadrant II So, 90°Get an answer for 'Calculate cos a if sin a = 2/3 and a is in the second quadrant' and find homework help for other Math questions at eNotes
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• sec 1 cos 13 12α α= =±I'm having issues understanding as to how to go about doing this I cant seem to figure out how to find the values of sin and tan in terms of the given cos value in the 3rd quadrant Thanks with any and all help $\cos\theta = \frac{4}{5}$ and theta is in the 3rd quadrant, find the exact values of (i) $\sin\theta$ (ii) $\tan\theta$Question Find tan(st) if cos s = (1/5), sin t = 3/5, and s and t are in quadrant 2 I have ready substituted values into the tan sum identity, but I'm having trouble with the arithmetic Answer by lwsshak3() (Show Source)
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Tan are positive sin 𝑥/2 ,Since $\cos^2t\sin^2t=1$, dividing both sides by $\cos^2 t$ we also have $$1\tan^2t=\frac 1{\cos^2t}$$ Also, in the second quadrant, $\cos t<0$ and $\sin t>0$ Use the second equation and the restriction to find $\cos t$, then use the first equation and the restriction to find $\sin t$ Then add those for your final answer• tan sin cos 5 12α α α= =±
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This video explains how to find the 5 remaining trigonometric function values given the sine function value and the quadrant of the anglehttp//mathispower40111Given cos A = 1/3, π/2 <0 and tan(θ) 0 (Sine positive) For an angle in the third quadrant the point P has negative x and y coordinates Therefore In Quadrant III, cos(θ) 0, sin(θ) 0 and tan(θ) >
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1504Sine and cosecant are positive in Quadrant 2, tangent and cotangent are positive in Quadrant 3, and cosine and secant are positive in Quadrant 4 Consequently, what quadrants are the trig functions positive and negative?This question hasn't been answered yet• cot 1 tan 12 5α α= =±
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π We have, sin 2 A cos 2 A = 1 ∴ sin 2 A (1/3) 2 = 1 ∴ sin 2 A = 1 – 1/9 ∴ sin 2 A = (91)/9 ∴ sin 2 A = 8/9 ∴ sin A = ±Sine, Cosine and Tangent in Four Quadrants The point (12,5) is 12 units along, and 5 units upI have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated 1) Find sin 2x, cos 2x, and tan 2x from the given information tan x = − 1/6, cos x >
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B) 148°, 352 o c) 16°, 106 o, 196 o, 286 o 16 a) could lie in quadrant 3 or 4 5 233°Answer to 2 3 4 5 6 7 1 Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IT 5 sin 2x 0 X 6 2 cos 2x tan 27 13A) quadrant 2 or 3 b) Quadrant 2 sin , cos , tan Quadrant 3 sin , cos , tan c) 115°, 245°
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2218sin(α β) = sin α cos β cos α sin βsin(α − β) = sin α cos β − cos α sin βThe cosine of the sum and difference of two angles is as follows cos(α β) = cos α cos β − sin α sin βcos(α − β) = cos α cos β sin α sin βProofs of the Sine and Cosine of the Sums and Differences of Two Angles We can prove these identities in a variety of waysIn Quadrant 4, angles are from 270 to 360°Click here 👆 to get an answer to your question ️ Given tan(A) = 2 and A is in Quadrant I, find sin(2A) and find cos(2A) 0 1 1/2 4/5 0 1 1/2 3/5
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Replacing x with 𝑥/2 (90°)/2 <10 r ( x, y) θ O y x Definition 21 Trigonometric Functions of a General Angle Let θ be an angle in standard position and suppose that ( x , y ) is any point other than ( 0 , 0 ) on the terminal side of θ(Figure 23)If r = x2 y2 is the distance between ( x, y ) and ( 0 , 0 ), then the six trigonometric functions of θ are defined by Using similar triangles, you can see that the values
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