Find of r when

Q: Write 2 cos(3t) + sin(3t) as Rcos(wt - ). |

A: Here we will write in the form of Rcos(ωt-∅),

Q: 2.Find if. y? +x? = sin(xy) using implicit derivation

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Q: sec(tan ' ()

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Q: Find the value of x. to 143° degrees

A: Explanation of the answer is as follows

Q: 4v-16v²dv

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Q: V2 2. 2.

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Q: Simplify sin(t)/sec(t)-cos(t) to a single trig function with no fraction.

A: To Simplify the given identity  to a single trigonometric function with no fraction.  sintsect-cost…

Q: Express cos°x as a function of multiple angles.

A: The function of multiple angles is given below,

Q: Cos X. is iF C3)?

A: Given,            Consider the function Fx whose second derivative is F''x=18x+3cosx.           Also…

Q: Find the domain and the range y= V1- sinx

A: Given function: y=1-sinx

Q: - f(t) = teat sin bt

A:

Q: For what values of x can you replace sinx by (x−x^3/6), with an error that is smaller than…

A: To find: The values of x can replace sinx by x-x36  , with an error that is smaller than 4×10-3 .

Q: tan(}r) da

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Q: S tan' (2x)sec“ (2x) dx

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

Q: Determine L{sin(4t + 5)}.

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Q: Use meau value theorem ex > 1+x for

A: The Mean Value Theorem states that if a function f   is  continuous   on   the closed interval [a,b]…

Q: What value of x will make sinx = -? none of the given choices © - (D E

A: Given:    sinx=-12

Q: Write the equation of the line tangent to the graph of r = 5 cos (40) when 0

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Q: Find the value of the trig function indicated. 3) tan 0 7 23

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Q: Evaluate p* sin 0 de dr.

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Q: The height of an arch above the ground is given by the function y = 6 cos x for -55x55. What is the…

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Q: Find the length of y=ln(sinx) for Pi/6≤x≤Pi/3.

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Q: b. What is the range of y = sin-12x? %3D

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Q: Calculate f/2 ( sin a) da xp

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Q: cos e de O 4

A: Given

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Q: Complete the steps by applying trig identities to simplify the expression as much as possible Steps:…

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Q: Realize Stoke's theorem

A: Given,        A→=j^x+k^y

Q: Write 2 cos(3t) + sin(3t) as Rcos(ωt−φ).

A:

Q: Given sinx = 2/3 find the remaining trig. functions.

A: The trigonometric functions can be defined as the functions of an angle of the triangle. there are 6…

Q: Simplify sec(t) − cos(t)/sin(t) to a single trig function.

A: Given expression is We know that sec(t)=1/cos(t)

Q: Solve for x in the equation: arctan(2x) + arctan(x) = pi/4

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Q: Let ƒ(x) = sin x. What is the value of ƒ′(p)?

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Q: Evaluate sin (x) cos(r)dx using an appropriate substitution.

A: Given that, I=∫absin5(x) cos(x) dx We have to find the solution of above integration.

Q: e. L[t e'cosh t sin t]

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Q: Evaluate dx using trigonometric substitution. 25 x2 -

A: Let x = 5sinu ⇒ dx = 5cosudu∫25sin2u5cosu25-25sin2u du75∫sin2ucosu51-sin2u duAs sin2x+cos2x = 1 ⇒…

Q: (x² cosh(sin(x – y) 8.

A: We have to find the partial differential with respect to x in question number

Q: L{et sin 9t-f+ e}

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Q: Find I see sec42x tan 92 dx

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

Q: tan y-secr=5 find...y'

A: Follow next step

Q: Use the technique of trigonometric substitution to evaluate x2 dx 4 – x²

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Q: Find F(s). L{(1 - et + 6e-3t)cos(4t)} F(s)

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Q: Scm

A: The sine (sin) of an acute angle in a right triangle is the ratio of the side opposite the triangle…

Q: Find Se2" sin(2x)dæ

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Q: (a) Use S(f) to estimate |sin e" dr.

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Q: Find y'and y" if y= Sindx

A: To find the derivative

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.