18. Prove tan (0)+1= sec (0) 19. Solve: 2cos? (3x) + 5cos (3x)- 3 = 0 a. b. 4 cos

Q: for the equation 8x(x−1) +cos(x) =0 does the intermediate value theorem show at least one solution…

A: Let, f(x)=8x(x−1) +cos(x) 8x(x−1) and cos(x) both are continuous for all real values of x. So, f(x)…

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A: To find : ∫sin3x+cos2x2dx

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A: Using differentiation rule,

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Q: 1 Solve the equation cos x in the interval xE [0,27] 1- tan x

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A: On solving this by doing differentiation implicitly we get

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A: 7) I=∫1-sin2 3t·cos 3t dt  ……1

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A: Given cosπ4-x-sinπ4-x=-1 We know the identity cos(a)-sin(a)=2sina using this we will get…

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A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

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A: To find out the derivative.

Q: Evaluate the integrals

A: 71). To evaluate the integral: ∫tan2x+sec2xdx Solution: We know that, sec2θ-tan2θ=1⇒tan2θ=sec2θ-1…

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A: To find: The general solution of differential equation. Given: The differential equation is…

Q: 9) Solve sin(20) = cos 0 on the interval 0 < 0 < 2n.

A: Given:sin2θ=cosθ on the interval 0&lt;θ&lt;2πFormula;sin2θ=2sinθcosθ

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A: Solution is here

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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: 3 8) 1--sin (2t) = sin' (t) + cos (t) sin(t) + cos(t)

A: Given,            1-12sin2t=sin3t+cos3tsint+cost

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Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

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A: Given that,    tanx=12, on 0≤x≤π2

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A: Explanation of the solution is given below....

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A: In second quadrant sin is positive and cos &amp; tan are negative.

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: We have given integral, I=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: (9) ſ cos(x²) 2xdx sin x? + c cos x2 + c Option 1 Option 2 sin 2x + c

A: We will substitute  x2 = t

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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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A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to…

Q: 3 3m 2. sin ---- sin(20) = b. cos(20) = a.

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Q: 3) If y = sin(2n), and x = cos(2n)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D…

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute :…

Q: 6. S cos 4x cosx dx will yield B.금sin Sx + 등sin 3x +c А. sin 5x + sin 3x + C c. 글cos 5x-글cos 3x + C…

A: Note: As per company policy we should solve only one question. So kindly repost the other questions…

Q: Where does the periodic function ƒ(x) = 2e^(sin (x/2)) take on its extreme values and what are these…

A: Given,

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A: Given: sin3xcos2x+cos3xsin2x=1 Identity Used: sinacosb+cosasinb=sina+b

Q: Find all exact solutions on [0, 2n). tan(x) – 2 sin(x) tan(x) = 0

A: tan(x)-2sin(x)tan(x)=0tan(x)1-2sin(x)=0case-1tan(x)=0x=nπin the interval…

Q: 3. Given 0<0< 27, solve 2 tan 0+ sin 0 cos 0 = 0.

A: