our trigonometric identities to hel +5} 2t) + 7 sin(2t)} (3,0

Q: *T/3 sin0 + sin0 tan²0 do sec²0 6.

A:

Q: Evaluate: cos [sin cos[tan' +4 sin sec (" )

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Q: (a) [(0.6e15 + 4t 3t² +03-10-01 at 4t4-3t3 + 0.3 _10t 1.5 -0.1 2t3 (b) Evaluate…

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Q: sec Asin A = sin' A %3D tan A+cot A

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Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

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Q: Evaluate the following integrals -3.r/4 + 8a*]dx -3

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Then use equation (1) to find sin'x cos5x 0 -dx.

A: Given integral ∫0π4sin7xcos5xdx

Q: Find dy dx tan/ sin3x) + eos (cos. .....

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Q: العنوان solike Ъ sin (3x) cos² (5x) dx 2 8 tan ³ x dx >

A: First, we need to break down the problem into two separate…

Q: 30. Verify cach identity Eactor trieonometric everessions 3 sin'(ø) + 4 sin(0) +1 sin (0) + sin(@)…

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

Q: <O< 2T, sec(0)=9/4, find sin(0)=_ Suppose that places) (round to 3 decimal 2

A:

Q: The amplitude of F (x) = } sin is

A: The amplitude of the sine function is the distance from the midline to the maximum point.

Q: 1. If z = sin2+In^, find the value of x- +y X

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Q: (7) Show that k± ds det T d T dt ]. DIFFERENTIAL GEOMETRY k is the curvature Here is T +9-c |q -c| T…

A: Solution

Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Sin3x.e" Šinx

A: We will use standard formula of integration

Q: V3 Tan" (-V3) Cos"(-1) 3. Sin 2 1. 2.

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Q: 16) Prove the 1+ tan?(u) = sec2(u).

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Q: which of these possible solutions for cos^2x +n sin^2x - 1 = 0 in the interval x R [0,2pi]

A: This question is based on Trigonometric equation.

Q: d-) sin x cos??x dx =) 2. d-) Sin`x cos

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Q: Let X = {a, b, c, d} and TX = {ø, X, {b}, %3D {b,c}, {a,b,d}} be a topology on X. Let Y = {1, 2, 3,…

A: A function is continuous if and only if inverse image of every open set is open

Q: solve the equation on [0,2pi) sec^2 x + tan x = 1

A: Given:sec^2 x + tan x = 1

Q: 1 V25 81x2 xp +C WeBWorK notation for sin '(x) is arcsin(x) or asinx), for x) it's arctan(x) or…

A: Given,

Q: (b) If t= tan- , express 0 2' sin 0+ sin 1+cos $2/20 + cos in terms of t.

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Q: ) a) The equation sin^2(x)-cos^2(x)=sqrt(2)has at least one solution in the interval [0, 2pi] True…

A: our objective is to solve a,b

Q: Use de Moivre’s theorem with n = 4 to prove that cos(4θ) = 8 cos^4 (θ) − 8 cos^2 (θ) + 1

A: