Find L{cos() + sin(5)} Note: L{cos(bt)} P and L{sin(bt)} In the first part b = and in the second part b = ; Hide steps (Your score will not be affected.) Answer:

Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

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Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: 10. Find the exact value of cos 2x given that cos x =

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Q: 2 cos @ dӨ . 1- sin 0

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Now

Q: et sin 0 =0.851. Compute the value of sin(20). Round your answer to nearest thousandth.

A: We are asked to find the sin2θ

Q: Find sin (0). Cos (0) = 4 Show your work here

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Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: 4. Solve the equation for x if 0<x<2n. Give your answer in radians using exact values only. cOs X -…

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Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: S sin5 3 x cos' 3 xdx

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - x in Quadrant II| 3'…

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Q: 28. Cos xdx

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

Q: Find the approximate value of cos (sin(-0.44). cos (sin -1(-0.44) = [ (Round to four decimal…

A: We will find the approximate value of cossin-1-0.44 in the following step.

Q: i) Find sin 6x+ cos 4x dx. 3 ii) Evaluate || et -dx . Hence, solve 2e* dx . (* +2)" +2

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Q: Q5/ If tan 0 :- find without using table values of: sin 0, cos 0.

A: The given question is taken from trigonometry and calculus so we have to deal with both of the given…

Q: Find sin 4.x cos 8x dx.

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Q: If cos x is replaced by 1 - (x2/2) and |x |&lt;0.5, what estimate can be made of the error? Does 1 -…

A: We’ll answer the second question first. Notice the question have used first two digits of Maclaurin…

Q: find the approximate values for all solutions to tan^2t -tan t -6 =0

A: Obtain the approximate values as follows.

Q: Find ∫sin3 x cos4 x dx.

A:

Q: 2. Find the exact value a. sin'' -1/2 b. arccos - с. tan-1(tan - )

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Q: if g- Sin (cos 8x) Find y NP

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Q: 1 What value of x will make sinx = 2 A none of the given choices

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Q: 3 Find sin 2x, cos 2x, and tan 2.x if cos.x = and x terminates in quadrant II. V10 sin 2x %3D

A: given

Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: (2 cos 2x+ 3 sin 2.x) 7. evaluated at x = 1 rad

A: Given query is to find the value of the expression at x = 1.

Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

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Q: Find the general antiderivative for Cos(3x)-Sin(pix)

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: sin(플 + 2x) %3D cos(플 - y) 2- Which of the following is the relationship between x and y according…

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Q: Find sin 2x, cos 2x, and tan2.x if sinx= -- 3 and x terminates in quadrant IV. V13 sin 2x cos 2x tan…

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Q: 1 200 -1 1 What is the value of the -coordinate of point A?

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Q: Find the exact value of the expression. TC COS 16 3T - sin 16 TO - sin 16 COS | 16

A: To find:- Exact value of cosπ16cos3π16-cosπ16cos3π16

Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cos.xr= and x terminates in quadrant IV. 17 sin 2x cos 2x !!…

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Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: 25n B- If cos-1 (cos) = y , Find value of y?

A: B. cos-1cos25π6=y =cos-1cos24+1π6=cos-1cos24π6+π6=cos-1cos4π+π6 cos4π+θ=cosθ =cos-1cosπ6=π6

Q: 39. cos (T + x) 40. sin (2m- xr) 學一) 37T 42. cos 41. sin -

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Q: 2) Find the exact simplified value of tan 2, () 3m sin 0 where n s0<4 2.

A: Given

Q: 5. If x = 3tan 0, find sin e in terms of x.

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Q: 3. When e is in standard position and its terminal side passes through the point (4, -2) Find the…

A: Given: θ is in standard position and its terminal side passes through point (4,-2)

Q: where does the function 1/sin(x) not exist? what happens if we try to calculate any of these values?

A: We have to find the values where function values doesn't exist.

Q: What is the value of d. (sin x3 dx cos x²)? COS

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Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

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Q: How would you evaluate∫cos2 x sin3 x dx?

A: Given: ∫cos2xsin3xdx

Q: The antiderivative of Cos(3x) jis

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.