Integrating which trigonometric function results in   ln∣sin x∣ + C?

Q: Prove the trigonometric identity: 1 sec(x) – tan(x)sin(x) = sec(x)

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Q: integral sin ³0cos Odt sin20 2 sin²0 = 1 - cos²0 1+ cos20 cos²0= 2 1- cos20 (D) sin²0= 2 To evaluate…

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Q: secθ-tanθsinθ=1/secθ

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Q: Evaluate: fx sin 2x? dx

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Q: QI) Show that: (a) (1+x)° =1+6x (b) (cosx) = –sinx dx

A: 1.  a  1+x6≅1+6xb  ddxcos x=-sin x

Q: valuate sin

A: We have to find the value

Q: arcsin (sin) 4 f arccos (sin-

A: Part (a) The arcsine of x is defined as the inverse sine function of x when -1≤x≤1. Thus,…

Q: Evaluate the definite integral of the trigonometric function. Use a graphing utility to verify your…

A: To integrate

Q: sin(sin 1 + tan (-3))

A: find the explanation below

Q: sec@sine d. tan0+cot@ sin20

A: given,        secθsinθtanθ+cotθ=sin2θ

Q: Coso-Sine

A: Since question is not clear, whether to prove  Cos(∅) - Sin(∅) =-1  OR  Find the solution of…

Q: 3. fsin (3x) cos(x + 1)dx

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Q: sec' 20 tan 20 de

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Q: sin(sin? 3.

A: Answer

Q: tan'x t secx =

A: Given: tan2x+sec x=1

Q: Using reciprocal identities how do you solve this problem? is it solvable? Cosx - Secx = -SinxTanx

A: Given that an trigonometric equation:

Q: Mutiply    (1 - sin theta ) ( 1 + sin theta )

A: Given that, The expression (1-sinθ)(1+sinθ). To find multiplication of (1-sinθ)(1+sinθ): Use a…

Q: sin-1

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Q: tan 3x sec" 3.xdx 5.

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

A: Given:        arcsinsin30∘

Q: Tan(x)=1.find x if x lies in 1st quadrant

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Q: / sin(3æ)sin(9æ)dx. Evaluate

A: We have to evaluate the given integral

Q: Trigonometric trigonometric function results in In|sin x| + C? Functions Integrating which

A: We need to find a function which on integration gives lnsin x+c

Q: sin(tan x) cos²x Evaluate ·[³ dx.

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Q: 3. sin" X cos X ax

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Q: 3. sin' X cos X ax

A: 1.) cos(2x)= 1-2sin2(x) 2.) cos(2x)= 2cos2(x)-1

Q: sin x+ tan x+cos´ x

A: We have to simplify  For this we will use the trigonometric identity formula.

Q: Sinca) bz Sin (an)= ०

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Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

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Q: (rece - tan 0) de 2. J]

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Q: sin(tan-(x))

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Q: Integrate using trigonometric powers.

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Q: sin -1

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: sin' Integrate: Sin 14 x cos.

A: Let sinx = t

Q: 1+cotx_ 1+sin 2x 6. cotx-1 %3D cos 2x

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Q: caliy Arcsinx (1-cos 2x) sin 2x sinx

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Q: COSX-Sinx I+ Cosx

A: Let f(x)=cos x-sin x1+cos x Consider sequence Xn Xn=π2, 5π2, 9π2, …, (4n+1)π2, … At these points,…

Q: Summarize how the derivatives of inverse trigonometric functions are related to the derivatives of…

A: dsin-1xdx=11-x2dcos-1xdx=-11-x2dtan-1xdx=11+x2dcot-1xdx=-11+x2dsec-1xdx=1xx2-1dcsc-1xdx=-1xx2-1

Q: sin ( sin – 1 층 + + tan - 1 2) -

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Q: sin'(-x) = - SI

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Q: (1-sinA) (1+sinA) Prove that- =(secA-tanA)

A: Given question is wrong. Actual question is 1−sinA1+sinA=secA−tanA2 We have to prove that…

Q: Integrate x^3/sqrt(25-x^2) dx. use the substitution x=5sin(theta). Your final answer should not use…

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Q: State Derivatives of Inverse Trigonometric Functions ?

A: We have six trigonometry function, sinx, cosx, tanx, cotx, secx, cscx Inverse trigonometry function,…

Q: cosA+sina 5. Prove that tan +A) = cosA-sina

A: Answer

Q: Application of Mean Value Theorem: 4. Prove the identity: sin² x + cos² x = 1, using the Mean Value…

A: The given identity is sin2x+cos2x=1 Let the right hand side of the function, sin2x+cos2x We know…

Q: 9. sec2 2x –1 = 1- cos 4x 1+ cos 4x

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Q: sin z Show that

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Q: se oda

A: We have to evaluate the integral.

Q: sinA (1+cosA) prove that +. =2cosecA (1+cosA) sin A

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Q: 3. cosʻx– sinªx = 1 – 2 sin? x

A: Using Trigonometry identities,