C. } 7π 13r 19T 25π 31T 18 18 18 18기 18 18 O d. S 12 12' 12 5π 13T 17π 12

Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

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Q: 6 sin(47y)sin(5y)

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Q: 13 4. sec 8 = sin 6>0 5'

A: Given secθ = -135sinθ>0 Hence θ lies in the second quadrant We know that in second quadrant sinθ…

Q: What angle does the tangent to the curve y(x)=sin2(x/9)+14sin(x/9)y(x)=sin2(x/9)+14sin(x/9) at…

A: The given function is, y(x)=sin2x9+14sinx9 The 1st order derivative of the function is,…

Q: 1) S sin (Lne) den = %3D 2) ( cosai du = 3) 1deu: (an +3)2 3. A) 2u +1 du 3 5) ) (taner+ tan'u)dau

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Q: Compute : exp(i sin(e¬ni)).

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Q: * DeMoivre's Theorem 4 (4(os 30 + ) i sin 30

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Q: =/2 4. cos z dr Jo da 5. I+1 I +IA

A: We have to evaluate the indefinite integral

Q: Find z5, if z=2(cos π/3 + i sin π/3) and onvert answer into rectangular form.

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Q: 3. 4 cos 2 s2-4sin = 5 %3D -

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Q: Evaluate the integrals in Exercises

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: St cos(21)°dt

A: Given,  ∫tcos2t2 dt  We have to find the integral.

Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

Q: 6) 1-cosx %3D 1+cosx (cotx - cscx)2

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Q: sec 0 + In +22+3 = -3 In y? + 32 -4 = 1+ cos 20 2/1+ (tan 0)2 + 2ln y + 2² =-3

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Q: 4. у%3D 3 sin(10х) 5. у %3D cot(2x3) 6. у %3D cot?x

A: Our objective is to differentiate the above questions.

Q: Find all solutlons exactly on the Interval [0,2n). cos t = cost %3D

A: The given equation is cos2t=cost.  Solve the given equation as follows:…

Q: Find the length of the path over the given interval. (6(0 – sin(0)), 6(1 - cos(0)),

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Q: 1) Solve 3tan(x)=√3 over the interval [0,2π)  2) Solve 2cos(x)=2 over the interval (−∞,∞) 3) Solve…

A: 1. 3tan(x) = 3 tan(x) =13 So, x = π6or x = 7π6   2. 2cos(x) = 2 cos(x) = 1 x = 2nπ, where n = 0, 1,…

Q: Graphing a Trigonometric Function In Exercises39–48, use a graphing utility to graph the…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 2π tane 13-12cose de

A: Given: The integral is ∫02πtanθ13-12cosθdθ. Evaluate the integral.

Q: 125 cos – j sin 11 7T 11 1. Simplify . Express answer in rectangular form. 47 + jsin 11 J5 cos 11

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

Q: usz 52 и (Inn)" 14 и OF U dim

A: We need to find limit.

Q: Given 0≤θ<2π , solve 4 tan ⁡θ−4=0 .

A: By using trigonometric equation formula, we solve the given trigonometric equation.

Q: 4/7 8 sin 18) 8 8 sin 10tan 10) do sec? 10) +.

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Q: cos Ꮎ 1 + tan 0 sin Ꮎ 1 + cote = cos 0 sin 0 Suppo pat bus to as to

A: Left side is given by :cosθ1+tanθ-sinθ1+cotθ

Q: If 5 tana =4 5 sin a – 3 cosa 1 Show that 5 sin a + 2cos a 6.

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Q: Find the root (3 – 3i)2 - + V18[cos(r/8) + isin(x/8)] O +V18[cos(x/8) – isin(t/8)] +3 V2[cos(1/4) –…

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Q: 20) sin(票 23) sin(一回) 21) cos (TT+e) 22) sin(277-e) 29) cos(年+e) 5TT 26) sin() 2テ) ton() 25)…

A: By bartleby rules, only first three questions have been answered 20.  sin5π12=sinπ2-π12=cosπ12…

Q: 1. tan 4 2. sin Зл 3. sin 4 4л 4. cos 3

A: There are multiple question. As per company policy kindly ask other question separately . 1.

Q: 2. Prove: cot?x – csc²x = -1

A: To prove the given expression

Q: Points of intersection Find the points of intersection of the circle r = 3 cos θ and the cardioid r…

A: Given:        r=3cosθ,   r=1+cosθ

Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

Q: Evaluating an Inverse TrigonometricFunction In Exercises 5–18, find the exactvalue of the…

A: NOTE-AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS IN ONE SESSION, SO, I HAVE ANSWERED FIRST THREE FOR…

Q: 4. Express in the form a + jb, (i) 2(cos 30° +j sin 30°) (ii) 5(cos 57° -j sin 57°)

A: To write in the form of a+jb

Q: 5. [(6+3z)cos(1+4:)dz

A: To evaluate the given integral.

Q: neN JS E (4i +1) = 2n2 + 3n +1 n(n +1) . neN JI

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Q: ? secv - tanv = 1/secv + tanv

A: solution is given below

Q: COS ZIT 12 sin 5TT- CoS 5TT. s'in 12 el

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Q: 3. C = In(sec[-10 – 16i]) %3D %3D 4. D = [-5 + 5i]2+2?)

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Q: [8sin(1– 25)sin(2s+3)ds

A: The given integral is  I=∫8sin(1-2s) sin2s+3 ds Rewriting the given integral , we get I=-8∫sin(2s-1)…

Q: z1 = 30 (cos 20° +i sin 20°) and z2 = 6 (cos 5° + i sin 5") %3D %3D ( cos +i sin %3D

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Q: tan(0) Insec(0) de (A (Insec(0))²+C (Insin(0))²+C 2 - (Intan(e)) ²+C D -Incos (0) + C 2

A: We have to evaluate the integral ∫tanθlnsecθdθ For this, we shall use the method of substitution.

Q: π/4 tan 0 If u= sec 0, then d0= sec 0

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Q: cot x cos x = cotx

A: To find the general solution solution on [0, 2π]

Q: sin z = -isinh (iz) %3D ulgn

A: