-1 x-1 +tan x+ n(-7) tan T+tan x-1

Q: tan (x)sın (x)- sın (x)=0 - sin (x)=0

A: Given; tan(x)sin(x)-Sin(x)=0.

Q: 23 Example 49 Let f(x)= sin" x-cos" x and g(x)=1+ tanlx1. Then, the number of values of x in…

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Q: 2 cos² x√4 tan x S tan² x dx

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Q: 8+tan x dx 1-sin?x i.

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Q: sin 0 lim 0lr tan 0 O a. 0.5 O b.0 O c. 1 O d. 1

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Q: II. INDETERMINATE FORMS tan 2x-2 sin x 4. lim x3 x →0

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Q: 3. tan(xy) + xy -0

A: Question number 3,Given,           tanxy+xy=0To find : The second derivative, y'' of the given…

Q: f(x) = (8 sin x + 3 cos x)tan1 -

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Q: (x+x³) (x Tan-'x+ 1) 3 -1 - -is -5 -is

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Q: Compute the derivative.

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Q: 2. (sin x)(tan x + 1) = 0

A: Given that, (sin x) ( tan x +1) =0

Q: 3. * 2+7 sin3x cos2x 2 tan x+ 7 sec x +7 cos x +c C 2 tan x-7 secx +7 cos x +c 2 tan x + +7 cos x +c…

A: The integration of the integral is  (2+7sin3x) /cos2x.

Q: sec x tan xdx = (sec x) - 5(sec x)° + c - (tan x) - 5(tan x)° + c 1 (sec x) - (sec x) +c 2(sec x)* °…

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Q: tan6(x) cos4(x) sin²(x)sec³(x) [7sin²(x) + 9cos²(x)] + C A 63 tan²(x) [7tan²(x) +9] + C B 36 Ⓒ…

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Q: cos 2x – cos x lim | x→0 sin x O -1/4 О 3/2 O -1/2 O -2/3

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Q: (x²-2x) (In x³-3 tan x) x√x

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Q: 3x2 sin(x³) Select one: а. In/tan x3 + cot x³| + c b. -In csc x3 + cot x³| +c С. с. In|sec x3 +tan…

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Q: x² + 9 dx J x2 – 1)(x² + 4) | In \x + 1| + In |x – 1| +; tan-1 (-) + c -In |x + 1| - In |x – 1| -;…

A: Topic:- application of integration

Q: tan(x) dx cos4(x) tan'(x) A [7tan²(x) +9] + C 36 1 ℗tan'(x) + tan³(x) + C C D sin²(x)sec³(x)…

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Q: x.tan 2x - 2x.tan x pute Lt (1.cos 2x)

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Q: 4 cos x+ cos x= sin "x- 4 2. sin x

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Q: sin? (x²–4) 2 lim x→-2 (x–2) tan (x+2)

A: I=limx→-2sin2(x2-4)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x+2)(x-2)tan(x+2)I=limx→-2(x+2)sin2(x2-4)(x…

Q: f(x) = -12sin(x)cos(x) f’(x) = -12cos(2x) f’(π/6) =

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Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

Q: (1+cos.x) sin x tan x+sin x (10) %3D tan x- sin x

A: We solve this by using trigonometry identity

Q: 5-x * tan(x) If f (x ) = -sec(x) (a) f'(x) (b) f'(5)

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Q: 2 tana-2 tan b = 2 tan x -1 tan a- tan b = tan¬1 x %3D a-b - a-bten- 1+ab tan = tan a-b X =- 1+ ab…

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Q: Find the limit

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Q: Factor.

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Q: 1- tan lim 1– tan(*,) [1– sin.x] sin x] (2, x→| (¥2)[[7 – 2x} n – 1+ tan(x 1/32 O 1/8

A: The given expression is limx→21-tanx21-sin x1+tanx2π-2x3.

Q: f tan-1 2 tan-1 3 +  x = π . Find the value of x

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Q: 2 sin x tan x - tan x = 1 - 2 sin x

A: Answer and explanation is given below

Q: R-4 (1-tan x) (1+tan x) dx evaluates to

A: Introduction :Here we have asked to solve the given integration.

Q: cOs x sin x tan x (7) = sin x+ cos x 1- tan x tan x-1

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Q: X+1 1-x Select one: a. sin-1(x)-V1-x² +c www. O b. sec-(x)-V1-x? + c C. tan (x)-V1-x2 + C d. cos x)…

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Q: 2. tan 2 7 with 180° < I< 270° 3 given tan x

A: It is given that

Q: 3/2 6x sin' - r-sin x) Evaluate: +3x dx. x-sin x

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Q: 1/4 (1- tan x) (1+ tan x) Q.37 dx evaluates to

A: Introduction :

Q: 2+ tan x - ) sec" x

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Q: 1+2 sin x cos x 1-2 cos2 x sin x+cos x (d). sin x-coS x | |

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Q: • tan°(x) Xp- cos“(x) 1 1 tan9

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Q: tan-1 x (х-у) tan-1 x+y. > -1 y(x+y) where ().

A: Known fact: tan-1A-tan-1B=tan-1A-B1+AB.

Q: 5. f(x) = / tan¯ (3x’)

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Q: tan x lim tan 3.x X → T/2

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Q: Differentiate

A: Given,

Q: sin x cos x tan x = 1 – cos² x -

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Q: tanº(x) cos“(x) O sin'(x)sec°(x)[7sin?(x) + 9cos²(x)] + C 63 tanʼ(x) [7tan²(x) + 9]+c 36

A: The properties to be used for solving the integral are: a) 1/cos4(x)=sec4(x) b) d(tanx)dx=sec2x c)…

Q: 2 sin x tan x– tan x=0 3.

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Q: 1- sin(x) A cos(x) +x+C COS 1+ sin(x) B -x+C cos (x): cos(x) -+C cos(x) – x 2cos(x) D 1+ sin(x)

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