How be came? -1 tan (2w) tan - -1 ω -1 tan 3 82 (4/4) 3 1 + w x 1/ -

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

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Q: -1 3. Show that sin-¹x = tan X √1-x² if |x| < 1.

A: Introduction: When there are trigonometric functions present in an expression or equation,…

Q: Use the Fundamental Theorem of Calculus to find •16 sin(x) S." dx =

A: Topic - Definite integral we are given, ∫116sinx4x34dxFormulas usedddxxn=nxn-1∫sin(x)dx=-cos(x)+C

Q: Let Express the value of in terms of I. pn/12 0 tan ¹2 (2x) sec (2x) dx I = p/12 10 S tan ¹0 (2x)…

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Q: find cos 0 el - (1 + h) 43. lim 0-0e" - 0 - 1 44. lim

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Q: 1. 1+tan (0²) = sec (0²)

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Q: 6 tan²(x)dx

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Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: 61. lim n sin = T n-00

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Q: f(x) A B = arcsin x, then lim 1/1/12 0 ㅠ 6 f(x)−ƒ( ² ) X→ X- 1|2 is

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Q: F(b) = 6-6² 1+6² 2 b = tan x

A: Given problem:- Fb=b-b21+b2 Find F(b) at b=tanx

Q: S(sec x tan x – 4x³)dx = - o tan x + х* + с sec x x4 + c sec x + x4 + c - sec x + x* + c - sec x x4…

A: Some of the properties of integration ∫f(x)+g(x)dx=∫f(x) dx+∫g(x) dx ∫xn dx=xn+1n+1+C ∫ (sec x tan…

Q: sin 2.r =? lim Vr3 + r² - x -1 2 112 112

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Q: 5 cos 20-5 lim 40 0→0

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Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: sin (an) - 3cos² (5n) √5 n

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Q: Show that the following equation is exact and solve it: (2y sin x cos x - y + 2y² exy²) dx - (x -…

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: LCM (least common multiple)  tan x = sin x / cos x cot x = cos x/ sin x  Also, tan x * cot x = 1

Q: O O 0 -1 -2 Find lim T 0 2 Nonexistent -sin 20 Cos

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Q: sec0-1 sin 2 2. 2 sec e

A: Now,           since,half angle formula                                Sin Q2=1-cos Q2

Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

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Q: 1 1 2 + sin 0 lim sin 0

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Q: 1 sint j+e3t t valuate lim t0 2t +5

A: Given: The limit is limt→0 12t+5 i + sin tt j + e3t k .

Q: Prove that: 3 (0) 2³ ( 1 - 4 ² ³ ; x ²) = + sin²¹ x (b) 2₁ (¹-x²) == tan²¹ x 1 H

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Q: lim →+ 0+ sin 0 sin 0-1

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Q: (tan x\secx) _ 1 1 - sin' x sin x L.S.

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Q: 7 tan (1/2) dz 22

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Q: Simplify cot x CSC X 1 cot x csc x + 1 to a single trig function.

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Q: lim Cos (40)-1 846 Sin (18)

A: NOTE: Refresh your page if you can't see any equations. . use L'Hopital's rule

Q: (sinx –) limx- (3sin²x –sinx +1) 21 7 →- 6. 2

A: Answer is -2.