5. show Hhat 1- l t tayI - tan (tan" 17

Q: → 61. y = In (tan¬ x)

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 31) Find tue derivetive of tue funcrion heae) = I Sinh 2x -7X 4

A: For derivatives we just apply differentiation both side.

Q: Show that (i) tan x < x, 0<x<T/2

A: In this question, the concept of Trigonometric Function is applied. Trigonometric Function The…

Q: 45. s 2 2 sin t -

A:

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

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

A:

Q: 1) S sin (Lne) den = %3D 2) ( cosai du = 3) 1deu: (an +3)2 3. A) 2u +1 du 3 5) ) (taner+ tan'u)dau

A:

Q: Evaluate the integrals

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 7. Show that sin E + x) = G+x): = -cosx.

A: Introduction :

Q: 10* tan væ – In () DIFFERENTIATE the given:

A:

Q: s nip

A: Given z=tanα2

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A:

Q: 3. e<4TI. 2. ind 3. where when tan e = -

A:

Q: 5. Evaluate tan (x)sec'(x)dx

A: Find the integral by using substitution

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: How do I get the re the result inside th Lel, tan' (2) = t » tant = 7 Sint it it e Sint = Cit +o)/2…

A: Euler's Identity

Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: S 3. sin°ydy 1+ cosy

A:

Q: ∫ tan^8 t dt

A:

Q: 9) -135° Pos Neg Sin Cos -:-

A:

Q: DATE. TAO D sin/tan" t) sinx Ix -xZ 2. 3)sech u t tanhu)? du

A:

Q: Evaluate the integral.

A: to evaluate I=∫π4π3tanθsin2θdθ

Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

A:

Q: - IF z = tan2 -1 y Show that x- ây

A:

Q: 1. What is S tan x dx?

A: log|sec x|+c .

Q: If xy-In(3 sinh(3x)) , then x? y'-

A: Given,           xy=ln3sinh3x

Q: 12 Sin X de =?

A:

Q: 5. | sin (Tx) cos (Tx) dx

A:

Q: 4.) 2 tanx (sin x) tan x = 0 %3D where do I begin? NG Cue! 2240

A:

Q: find

A: Given,           y=2sin22x*3tan-12x

Q: 7. B- Show that: (1) lime-0 tan 8 (2) tan 0 sec20 =D1 %3D do

A: Solve

Q: 9-10.j Show that sin20 2tane %3D 1+tan20

A: We will prove the trigonometric formula.

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same time) 1.…

A: sin2x=1-cos2x and,  tanx= sin(x)/cos(x)

Q: (b) у — 2г tan-"(г) — In(1 + x?)

A:

Q: 2. Show that y = ce sin

A:

Q: Show that tan x between 1 (1)

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: 9, 9. tan 2x dx 0.

A: Integration basically means to find the integrals, i.e., to assign numbers to function in such a way…

Q: 5. Evaluate 1. , sin(x?) dx

A: #1 intregal

Q: 3 tan-(x)dx = In (4) 2/3 None - In (4) 품-In (2)

A:

Q: b. use tand=-1 d. cusd- e. f. sin--

A:

Q: sec 1.)S Intanßtanß dß

A:

Q: tan y = In 2 + e"

A: Given : tany = ln2x2+e-xy

Q: 3. If tan(a-iß) = x- iy , show that x? + y?-2ycoth2B = -1

A:

Q: sin z = -isinh (iz) %3D ulgn

A: