sin cos tan !! 3D

Q: sin z In(sec z) dr

A: Answer and explanation is given below.. For 17 and 18 please repost the questions

Q: sec z 47. tan z tan z

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Q: 4. у %3D sec^0 - tan'ө

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Q: U= Sin/x-Y Show that +9u -tanu. 2.

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Q: (2 cos z-sin z)² dx Evaluate sin z

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Q: 1. sin (5x + ) sin ( x + T /2) %3D 2. tan (3x – T/2 ) = cot 2x 3. COs (x + п /2) sin ( T /2 – 2x )…

A: Given that three trigonometry equation  To find fundamental solution of the question

Q: sin(2x) cos(2x) Prove sec(x) sin(x) cos(x)

A: Trigonometry

Q: a) Show that: tan z, + tan z, tan(z, + 2) = 1- (tan z) +(tan z)

A: To prove the formula:

Q: i) sin 0+tan 0 1+sec 0

A: Givensin θ+tan θ1+sec θTo findsimplify thegiven tignometric function

Q: sec e de 1+ tan 0

A: To find∫secθ1+tanθdθ

Q: sin- In?| 4+ tan-!cos- dx 1+ cos2- 4+ tan-cos- 2sin- In2 4+ tan-'cos- dx 2 2 A 1+ cos 4+ tan-'cos- х…

A: Given integral ∫sin x2.ln24+tan-1cosx2dx1+cos2x24+tan-1cosx2

Q: lim sin(k/n). 1. cos(1) +5/3. 2. cos(1) +1/3. 3. cos(1) +2/3 4. cos(1) – 1/3.

A:

Q: sin-cos dt

A: Recall: Fundamental theorem of Calculus:          If 'f' is a continuous function on an open…

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: Prove the identity. cosh(x) + sinh(x) = e* cosh(x) + sinh(x)

A: The solution of the problem is given in the next step.

Q: 2- tana 1. If Sin(x+ a)= 2Cos(x-a); prove that: tan x = 1-2 tana 2 If Siu

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Q: sin(2n) 1+/n In %3D

A: Write in product of two sequences

Q: 4. Verify the identity: (sec 0 + tan 0) (sec 0 – tan 0) = 1

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Q: tan y-1 . sin y- cos y- 1 www. Prove that tan y +1 sin y + cos y+1 2.

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Q: sin(In x) dx

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Q: integral Scos 4 (3x) Sin (3x) dx Evaluate the

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Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: sin(-æ) = - %3D V2 tan(x) = – %3D cos(x) csc(x) cot(x)

A:

Q: sin(x+y) Verify that (sec x cos y + sin y csc x) %3D sin(2x)

A: Prove that sin(x+y) /sin2x?

Q: 2cos(2x)sin(2x)-sin(2x)=0 Interval [0,2pie)

A: Given that the trigonometric equation, Solve the equation for x,

Q: sin 2ø tan² ß do + (sec² ß – 1) cos p dß = 0 B = 2 sin o + c %3D o p = 2 sec² B %3D

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Q: - sin sin -y = sin (x+y) Prove that cos Xcos 4 -y 4 -x sin 4 X - 4

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Q: sin z sin- is equal to 2

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Q: (sece +tane)(1+sine)de =

A: Evaluate ∫π6π4secθ+tanθ1+sinθdθ

Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

A:

Q: sin 7x dx 1 1 sin dx x cos² x 2 | (tan x + cot x) dx

A:

Q: Prove Vsec20+ csc²0 = tan 0 + cot 0 %3D

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Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

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Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: 2 sin 0 + sin 2 0 =0 with 0degrees

A: To solve:2sin0+sin20=0

Q: Prove そ Cose tiSina -(1- tan@)

A: We will use trigonometric identities of sub-multiple angles to evaluate. And also, we will multiply…

Q: provetha tan ( fan ' -Sin) 3. ww. 2.

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Q: tanx – lim 0 Cos[1 – –

A: Given, -limx→0cos1-tanxx

Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

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Q: sinx + sin 2 Evaluate | cosx A. -In cos x|– x+ C В. In'secx-x+ C C. -In|sec x|+ x+C D. In sec x|+x+C

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Q: sin z (sec z+1) cot r (1 – cos x) Prove

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Q: TI tant@-2 tan Bzl show that 2cose - Cos"B2o

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Q: Evaluate (sin² (sin² x cos x)(1+ sin z cos x) dx.

A: Use substitution method

Q: sin z Show that

A:

Q: sin³ydy 1+cosy

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Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: () - VE ()- 1+cos 0 1-cos 0 Show that cos and sin (: using de Moivre's Theorem.

A:

Q: 2. Prove sec?x + tanx secx 1- sin x

A: cos^2 x = 1 - sin^2 x sec x = 1/(cos x) tan x = sin x/cos x

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

A: Consider, tanx-tany=sinxcosx-sinycosy=sinx cosy-cosx sinycosx cosy=sinx-ycosx cosy…