tan x sec X 3 10 cos xdydx

Q: tan? x sec² x + secx Prove -cos x

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Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

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

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Q: 9. 4 sec2 0 tan 0 d0 0,

A: The solution is given below

Q: tan (x) = sec (x)

A: We know that  tan(x) = sin(x)/cos(x)  Sec(x) = 1/cos(x)  So ,  sin(x)/cos(x) = 1/cos(x)

Q: tan x+ cot x) dx

A: Recall trigonometric identities, Substituting the values in above equation, we get

Q: [tan (x)sec (x)dx cot (x)csc°(x)dx sin (x)cos (x)dx

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Q: Find 7/3 tan'x sec*x dx 27.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: verify the identity: sin(x+y) + sin(x-y)         = tanx cos(x+y)+cos(x-y)

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Q: Simplify: cosx sec x – cos² x O cos² x sec x sin x

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Q: Verify the identity: tan x/2 = (sec x - 1)/tan x

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Q: /tan x sin x cos x

A: given = ∫tan (x)sin (x) .cos(x)dx

Q: if Sec X = 2 then tanx +Cos X =

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Q: 6. G) sec 4 tan .3. dx 3 (),

A: Consider the given integration ∫tan6x3sec4x3dx

Q: (tan'x de 3 1. [cse* xdx 4 2. csc"xdx 3. |tan 3x sec 3xdx

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Q: 31) 2 tan x cos x+2 cosx= tan.x+1

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Q: tan x csc x(1+ sec x) ove 1- cos x %3D

A: you need to know these formulae before solving the question:

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

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Q: tan (x) sec" (x)dæ

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Q: tan x= Sin 2X

A: Given: y'+y tan x= sin2x

Q: sec x Verify that = sin x %3D tan xcsc x Simplify the left side to get the right.

A: To verify the given , identity.

Q: sec(2) tan(2) – 1 dz 3.

A:

Q: tan(x)csc(x) cos(x)

A: Given,            Tan(x).cosec(x).cos(x)

Q: 1. sin x csc x 5. cos x (tan x + 1)

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Q: 1 sec @ — tanө %3D sece + tan0

A: rationalizing LHS and using trigonometry formula's to get RHS

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: In(|tan(x) sin(x)|) = 2 In(|sin(x)]) + In(|sec(x)])

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Q: | tan'x sec'x d.

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Q: Verify the identity. sec X• sin x= tan x

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Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

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Q: tan x 3. = sin x %3D secx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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 sec(x) − 5 cos(x) = 5 sin(x) tan(x)

A:

Q: | tan° xsec* xdx 6 2. Use 1 + tan² x = sec? x to evaluate

A: Solution:

Q: verify tan(y)/csc(y)=1/cos(y)−1/sec(y)

A: Given data:     The given trigonometric expression is: tan(y)/csc(y) =1/cos(y) -1/sec(y).     To…

Q: | (tan x)¬3/2 sec² x dx

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Q: sec x-1 sin x %3D secx+1 1+cos x

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Q: Verify the identity:

A: tan x=sin xcos  x1+tan2x=sec2xsec x=1cos x

Q: Verify the identity. sec(x) + csc(x) tan(x) + cot(x) cos(x) + sin(x)

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Q: [((1-tan^2(x))/sec^2(x)]= cos(2x)

A: To prove that  [((1-tan^2(x))/sec^2(x)]= cos(2x)

Q: Find the value of sec x + tan x if sec x – tan x = 3.

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Q: • tan°(x) Xp- cos“(x) 1 1 tan9

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Q: Verify the identity.  (1 − (cos x)2)(sec x)2 = (tan x)2   (1 − (cos x)2)(sec x)2 = (_______)/(cos…

A: We can use trigonometrical identity in order to solve the given problem.

Q: 2. sec x 4 tan<x + 7 tan x + 12

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Q: 3. 1+ tanx tan 2x = sec 2x s*

A: The given identity

Q: 1. Verify the expression cos(x) + sin x tan x = secx.

A: Given, cos x + sin x tan x = sec x

Q: 25. | (3— 2 tan? 5х) sec2 5x dx

A: Solve the following integral

Q: Verify identity cot x sec x sin x = 1.

A: Verify: cotxsecxsinx=1