3. If cos 0 = 5' and tan 0 > 0, find the exact value of sin 0 %3D

Q: 8. 4 sin(at +b), where a and b are constants.

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Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

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Q: 7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

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Q: 1. Find the exact values of sinh (0) and cosh (0) using their definitions.

A: Sinh x=ex-e-x2∴ sinh0=e0-e-02=1-12=0∴sinh0=0      cashx=ex+e-x2∴cash0=e0+e-02=1+12=1⇒cash0=1

Q: 2. Find the exact value of sin(a + B) under the given conditions. 5 tan a = 12 코T< a< 프, sin ß = -,…

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Q: et sin 0 =0.851. Compute the value of sin(20). Round your answer to nearest thousandth.

A: We are asked to find the sin2θ

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information sec(x) = 4, x in Quadrant IV %3D…

A: Given: secx=4, x in Quadrant IV   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: 1 Differentiate y = tan 8x + cos ,x

A: Using differentiation rule,

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: We will find the approximate value of cossin-1-0.44 in the following step.

Q: (a) Show that the equation cos rdr + (1+ -(+)- sin rdy = 0 is not exact.

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV %3D…

A: Given, sec(x) = 6,    x in 4th quadrant

Q: Question 8 If we have to check the DE Sin(x) +y cos(x) =1 for Exact then M,--- dx -cos(x) sin(x)…

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Q: S 3. sin°ydy 1+ cosy

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Q: If sin(0) >0 and cos(0) = - find tan(0). CO %3D tan(0) =

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Q: Find sin(2x), cos(2x),and tan(2x) from given information. sec (x)=6 , x in Quadrant IV • sin(2x) =…

A: As per the given data we have: sec(x)=6    ⇒    cos(x)=16

Q: 15 Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant III. 8 sin 2x = S ? cos 2x…

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Q: If sec A = V50 with 0° < A < 90°, find sin 2A and sin 4. %3D sin 2A = sin

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A:

Q: 3 Find sin 2x, cos 2x, and tan 2.x if cos.x = and x terminates in quadrant II. V10 sin 2x %3D

A: given

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A: We have to evaluate the given integral.

Q: 3pi

A: 1.Cos(x-y)=Cosx*Cosy+Sinx*Siny 2.Sin(x+y)=Sinx*Cosy+Cosx*Siny In a right angled triangle, 3.Sin X =…

Q: | 2* (In(4.x))? dr -2х e cos 3x dx

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Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

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Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

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Q: If sin A=1/√10 with A in QII find cos 2A.

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Q: For what values of x in [0, 27| does the graph of y = cos have a horizontal tangent? List the…

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…

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Q: = -1, find the value of can 0-1 sin 0 – 3cos e sin 0 + cos 0

A: Given thattanθtanθ-1=-1Sotanθ=-1(tanθ-1)tanθ=-tanθ+12tanθ=1tanθ=12

Q: Question 4 in picture

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Q: 2/12 6. If sin(t) =- and cos(t) < 0, find the exact value of tan(t). %3D

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Q: Question 3 in picture

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Q: .15 S sin²4y cos>4ydy

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A: We have to find integration

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Q: 5) coS I sin rdr

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Q: Suppose y=sin x, what is x-value between 2pi and 4 pi corresponding to y-value of -1

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Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)

A: Solving the definite integral.

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Q: 1. Match th A. Sin В. Cos С. Tan

A: As per the guideline i can answer only first question for you, more than one answer leads me towards…

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A: 18)

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Q: 2x 0.9511 and cos- 2x 0.3090, find tan 2x and sec Round to four decimal places. 5 Given that sin

A: The given values are sin2π5≈0.9511 and cos2π5≈0.3090