Simplify the trigonometric expression. 3 sin(x) sec(x) tan(x)

Q: Using a sum or difference​ identity, write the following as an expression involving functions of x.…

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Q: For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no…

A: The Taylor series for sin(x) can be written as:

Q: Evaluate using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C…

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Q: Considering only the values of α for which the expression is defined, which of the following is…

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Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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Q: Evaluate the trigonometric function of 0 given below, where 0 is an acute angle determined by an…

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Q: Write the trigonometric expression as an algebraic expression. sin(arcsin x + arccos x)

A: To write the trigonometric expression as an algebraic expression.

Q: Right, or wrong? Give a brief reason why. sin (x²) x cos (x²) – sin (x²) dx х x²

A: We will try to differentiate the right side and check if we get the expression inside the…

Q: sin z If sin a+cos r tan z A+tan r ;, what is the value of 2.A?? O 0.5 no correct answer O 2

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Q: cos 3z dz sin?3z

A: We have to find the integral of: ∫cos53xsin23xdx. Substitute u=3x⇒dudx=3⇒du3, we obtain…

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: 4 sin? r d) lim a-0 3x tanx

A: see below the answerHere we use the L'Hospital Rule islimx→af(x)g(x) is of the form 00 then…

Q: + sin x = 0. It t is taken as the root wOL.

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Q: cos (t) Simplify to an expression involving a single trig function with no fractions. sin (t) + cos…

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Q: sin x c) 1 – sin? x

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Q: Evaluate the integrals

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

Q: Simplify to an expression involving a single trigonometric function with no fractions. cos( – x) +…

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Q: (sin" (e* 3 + cos I -00

A: We first get rid of the negative exponents

Q: sin or cos

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Q: Power 2 ·cos. x. ² d.x.. 015 a f. cos

A: Solution a: Given ∫00.5cosx2dx Since we know that cosx=1-x22!+x44!-x66!+... then…

Q: S(cos x – sinx )²dx

A: the given integral is: ∫cosx-sinx2dx we have to evaluate the integral.

Q: (c) cos? x = csc x CoS X/tan x + cot x Answer:

A: Given, cos2x=cscx cosxtanx cotx Take Right Hand Side: cscx cosxtanx…

Q: =sec? Ge) 2. cos'(x) tan(x) df da (3) If f(x) = In find You do not need to simplify. 4x-7

A: we know that  d/dx(In(x))=1/x d/dx(u/v)=(v du/dx-u dv/dx)/v^2 d/dx(tanx)=sec^2(x) d/dx(xn)=nxn-1

Q: Use basic identities to simplify sin³ x + x + cos²x sinx. Enclose arguments of functions in…

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Q: Evaluate using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C…

A: We have to find out the integral

Q: | sin' x cos? x dr.

A: To find: Solve the given integral in the question

Q: tan? sin? a a sin2 a 4. tan? a sin* a Verify the Identity

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Q: cose + sine =1 If a sine - cose and a = 1 b x2 prove that a? b2

A: Given,xacosθ+ybsinθ=1 and xasinθ-ybcosθ=1then prove that:-x2a2+y2b2=2

Q: d30 Find dr30 (-15 sin (x)).

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Q: Simplify the expression. sin(2 arccos(x))

A: We can simplify the expression as below.

Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx A - sin - 3 9- corx +C B) None

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Q: Simplify the trigonometric expression below by writing the simplified form in terms of sinx.…

A: The expression tanx+cotxsecx. We have to express this trigonometric expression in terms of sinx.

Q: x -9 Using trigonometric substitution, what is dx ?

A: To find ∫x2-9x3dx

Q: sin a + cos a -da e-a + sin a + sin

A: Writing the given integral as I=∫sin x+cos xe-x+sin xdx Now simplifying this integral. I=∫sin x+cos…

Q: Factor the trigonometric expression and simplify. |-2 sin? X +sin4X A.) sin? X B.) cos 4x C.)…

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Q: V9 - 4x? dx

A: See the details solution in below

Q: V. Rewrite the expression as an algebraic expression of x. a) sin(cos-1 r) b) sin(tan-' x)

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Q: simplify and write the trigonometric expression in terms of sine and cosine

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Q: COSX secx Sint e) Nsin?x F cOse x

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Q: x³dx Using trigonometric substitution, is equivalent to x²-4 8 / sec*o do A B 6 tan'o seco do © •Smo…

A: The given integral is: I=∫x3dxx2-4

Q: Sin B = 17 Cos N = Tan B = 15 CO

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: p(x) = sin cos x Select the correct response: tan x O 1 O sin? x – cos² x 2 COS“ x -

A: Given that

Q: Evaluate (sin x)(cos³x)dx Refer: products and quotients of trigonometric functions 2/3 O 5/27 Ο 1/24…

A: We will solve the above integral by using substitution method as shown below

Q: sin?x + sin x = 0

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Q: 4. Simplify the trigonometric expression: (tan x) (csc x) a)cos.x b) secx c) cot x d) 1 e) sin x

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

Q: For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no…

A: Given Data The expression is x-xᶟ/6. The magnitude of error is 5×10-4.   The expression for the…