tan(r + y) tanr+ tan y

Q: Prove the identity. cos (x+y) =1- tanx tany cosx cosy

A: Given L.H.S is cos(x+y)cosx.cosy We know that cos(a+b)=cosa.cosb-sina.sinb substituting the formula…

Q: 1. Find y'. y = x² In(tan-1(2x))

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Q: convert csc x/ cos x to sec^2 x/ tan x

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Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y) = sin y %3D

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Q: Let y = (3x + 2 sin(x))ª. %3D

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Q: Evaulate the intergral: ∫−10sec^2(x)tan(x)dx

A: Consider the given integral:

Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

Q: Differentiate a). y = x tan-1x

A:

Q: Find y' i. y = sin(2x² + tan(6x² – x)) ii. y = sin(2x² + tan(x – 1))

A:

Q: Differentiate. y =  x Cos-1 x

A: Given: y = x cos-1x To Find: Derivative of given function Formula Used: Derivative of cos-1(x) is…

Q: Let h(x) = tan(2x + 2). Then h'(2) is and h''(2) is

A: The given function is: h(x)=tan(2x+2)

Q: 4. Evaluate tan²(x)dr. | tan

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Q: 2 y- tan(x) 1- -2 -1 1. -2-

A: follow next step

Q: Prove the identity. cos (x+y) 1- tanx tany cosx cosy

A: We need to prove the following identity cosx+ycosx cosy = 1-tanx tany

Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

A: cos(A-B) = cos(A) Cos(B) +sin(A) sin(B)

Q: 1) Find y' if tan-1(x²y) = x + xy²

A: Recall: d(u.v)dx=udvdx+dudx.v d(xn)dx=n xn-1 dtan-1xdx=11+x2

Q: Let cos x = 3/4 with x   tan  2 x

A: The problem is not clear. I'm considering x lies in the first quadrant. Given: cos x=34 That implies…

Q: Verify the identity: sin 2x = 2tan x /(1 + tan2 x).

A: Given The identity is sin(2x)=2tan x1+tan2x

Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

A:

Q: Prove the identity. cosx sin (x+y) – sinx cos (x+y)= siny

A: In question We have given two identities and we'll prove it, (i). Cos(π + x) = - Cosx  (ii). Cosx…

Q: Show that tan3x tan 2x tan x = tan3x – tan 2x – tan x %D

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Q: y = esin(tan-¹ x)

A:

Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v > 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: Prove the identity: sin (x-y) tanx- tany cosx cosy

A:

Q: How does ±√((csc^2x-1)/(csc^2x)) equal on of these: secx, cosx, sinx, tanx, cotx, cosx, or 1

A:

Q: Prove that sin (x +y) sin (x - y) tan x + tan y) %3D tan x – tan y

A:

Q: what is the general solution for -1=2tan(x) + tan2(x)

A: Simple calculation of trigonometric ratio

Q: Prove that ? 2tan X tan 2X 2 1-tan x

A:

Q: Let f(x) = (8 sin a + 4 cos x)tan %3D f'(2) = %3D

A:

Q: Differentiate y= x² cos x tan x

A: To determine:

Q: Explain how y = cos x + 2 is different from y = cos (x +2)

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Q: Sketch the graph from x = 0 to x = 4p.       y = cos x + 1/2 sin 2 x

A: Given that: y=cosx+12sin2x To draw the table,

Q: Show that cos(x) >1 – x²

A: In this question, the concept of the Mean Value Theorem is applied. Applying Mean Value Theorem in…

Q: Describe the transformations applied to y = sin x to obtain y = 2 sin(3x+5) + 1.

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Q: 1 1 – tan(x)"

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Q: Prove the identity  cos(x+y)/cos x * cos y = 1- tan x * tan y

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Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

A:

Q: Let f(æ) -4 cos x + 8 tan x f'(x) = r(#) - 27 f' 3

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Q: Evaluate y' of y = tan-'(cosx).

A:

Q: Prove the identity. cos (x+y) = 1 - tanx tany cosx cosy

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Q: Let y = tan(5x + 6). %3D

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Q: a) y=In(*). x tane 4 cos x y = 3x + sinx b)

A: Given: The functions are, a) y = ln ( x tan ex )

Q: What are the two formulas for tan (A/2)

A: tanA2

Q: 1. Find if tan() a. y = %3D

A:

Q: Let f(r) (3sin a + 5 cos z)tan r)tan f (x)-

A:

Q: Find y' i.y = sin(2x² + tan(6x² – x)) ii.y = sin(2x² + tan(x – 1))

A: We have to differentiate the given functions