True or False:  (a) sin-1 x  has period 2π     (b) tan-1 x  is increasing     (c) cos-1 x  has range [-1,1]    (d) csc-1 x  has vertical asymptotes     (e) sec-1 x  is undefined for x=0    (f) cot-1 x  has horizontal asymptotes

Q: COS X sin' n - Show that for n > 2, | sin x dx sin"-2x d.x n Use this to find sin x dx.

A: ∫f(x).g(x) dx = g(x).∫f(x)dx  -  ∫g'(x)∫f(x) dx   where f(x) is second function and g(x) is a first…

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Q: cos' x+cos'x dx is sin x+sin'x Q 9. The value of the integral

A: Introduction :

Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

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Q: 1 dx 9-81x2 +C %3D

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A: The product rule of derivatives states that duv=u'v+v'u.

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A: Given: fθ=limθ→0cos6θ-1sin7θ Apply limit by substituting θ=0 in the above expression.…

Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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Q: 21 csc' x 8. - (csc' x-1)" dx (simplify: cot' x+1= csc² x) 1 +C = tan"(x)+c ans : %3D 21 cot“ (x)

A: you can clearly understand if you follow the below solution

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A: We have to find part B and question 2) part A (1 to 4).

Q: (2 sinx if 0< x< T Graph g (x) cosx + 1 if < x< 27

A: gx=2sinx       if    0≤x≤πcosx+1   if    π&lt;x≤2π

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A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

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A: Given:

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A: We have to prove the identities 1. tan-1x=cot-11x2. sin-1x=csc-11x3. sin-1sinx=x

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A: Given,

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Q: (3) (a) Express cos(3r) in terms of sinx and cosr. (b) Prove that -cosz 1+cosI tan %3D (c) Sketch…

A: (3)  (a)  express cos(3x) in terms of cosx and sin x.       (b)  prove that 1-cos x1+cos x=tan2 x2…

Q: If cos(x) = -4/sqrt41 with pi/2 less than x less than pi what are: sin(x) sec(x) csc(x) tan(x)…

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Q: f(x)=4sin The equation of a sine function that has an amplitude of 4 and a period of: f(x)=4sin(4x)…

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Q: Q3/ lim Evaluate 2 (1+ cosx) ) sec x

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Q: What is the second derivative of y = sec “(3 x) ?

A: For the question 1, none of the options match. If the question had asked for first derivative of y…