d 1 [tan-(x)] dx 1+ x²

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x = sin…

A: We plug x=π/3.

Q: Find the tangent of ZW. 13 12 Write your answer as an integer or as a decimal rounded to the nearest…

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Q: Solve for the derivative of the following trigonometric function 1. у 3D 6seс Зх 2. x = cos4t 3.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: What is the domain of the following inverse trigonometric function? y= arctan (x) O (-∞, 0∞0) ㅇ (-8;…

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Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x

Q: Use substitution to determine whether the given x-value is a solution of the equation: cos x + 2 =…

A:

Q: Use substitution to determine whether the given x-value is a solution of the equation.

A: Given- cosx=sin2x, x=π3 To find- whether the given x value is a solution of equation or not. Concept…

Q: Express the given quantity in terms of sin x and cos x.

A: Given expression: cosπ+x

Q: 14. у %3D Sin-1 (Зх - 1) -3 3 Od. T-9x +6x Зх-1 O0. -9x+6x OCT-9x+6x Oa. V1-(3x-1)

A: Let's find.

Q: If f(x) f'(2) = [name] cos – 6 tan ™, then

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Q: Find a possible formula for the trigonometric function whose values are in the following table. 6 8…

A: First, we will plot these points on the graph.

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Express e(3−5i)x in terms of trigonometric functions.

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Q: 7) Find the exact function value If It exists. a) Sin-240° = %3D b) Sec 270° =

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Q: Va? – x²

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Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward.…

Q: y = Sin- (3x – 1)

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Q: Verify by differentiation that the formula is correct.

A: To verify, we will differentiate the right-hand side of the equation and that must be equal to cos2x…

Q: Find a possible formula for the trigonometric function whose values are in the following table. 0. 3…

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Q: ow that the equation 2x – 1– sin x 0 has exactly one real root.

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Q: In the given question as follows,, determine whether the statement is true or false. If it is false,…

A: f(x)=cos bx , we have to find slope of f(x) at x=0

Q: derivatives

A: Please refer to the image below

Q: y = x Sin x + (1-x²) Cos x

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Q: Use the formula for the slope of the tangent line to find of c(0) = (sin(20), cos(70)) at the point…

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Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-12=-sin-112                ∵sin-1-x=-sin-1x =-sin-1sinπ6   =-π6                          ∵…

Q: tan(los +1(-)

A:

Q: Write the given expression as an algebraic expression. sin(arcsin x + arccos x) 2 1- x* + X 2 + 1 1-…

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Q: 7. у%3D x sec? (пх)

A: We are authorised to solve one question, please repost remaining questions Derivative of function

Q: y = tan-x +1

A:

Q: Sketch the functions and what is the period of each functions? 1- y = sin 2x 2- y = 2 sin x 3- y =…

A: Explanation and solutions is given below....

Q: Complete the statement by referring to a graph of a trigonometric function.

A: Given, x→π4+ limx→π4+cosx cosπ4=12 function is continous so limit is same as x=π/4

Q: 11. Write true if the statement is correct and false if the statement is incorrect. Given the…

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Q: y = x- Sin 2x %3D

A: topic - derivative of a function

Q: By applying the first shift theorem, calculate the following functions; (i) L = {e=2{cos 6t} (ii)…

A: A detailed solution is given below. we can use the first shifting theorem to solve this problem.

Q: fo= tan(sin 3x) (x)

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Q: 4. y = x'sinx + 2xcosx – 2sinx 5. g(t) = tan(t – sin2t)

A: In first questions use product rule of differentiation. And 2nd question use chain rule...

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: What is the frequency of the periodic function f(x) = 5 sin()?

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Q: Find the five trigonometric functions in terms of t, if sint = - x+1

A: Given:sint=xx+1

Q: Use the definitions and the derivatives of sin(θ) and cos(θ) to check the derivatives of the other…

A: Given :     f(θ) = cot(θ)

Q: Use the definitions and the derivatives of sin(θ) and cos(θ) to check the derivatives of the other…

A: We know that ddxf(x)n = n·f(x)n-1·f'(x) ddxf(x)g(x) = g(x)·f'(x)-f(x)·g'(x)g(x)2 ddθsin(θ) = cos(θ)…

Q: Evaluate the six trigonometric functions at t= 4π/3

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Q: 7 h(x) :- 9 sec(x) %D

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Q: Find a possible formula for the trigonometric function whose values are in the following table. 2 3…

A: The given function oscillates from y = -7 to 5 and -1 as a mean value of y.   So it can be Sin or…

Q: Find, correct to six decimal places, the root of the equation cos x = x

A: To find :                          The root of the equation cos x = x up to six…

Q: Differentiate the following inverse trigonometric functions : 1) y -2 sin-1x 2) s (t) =-cos-1 t

A: We will ise tha fact that  Derivative of sin-1(x) is 1/√(1-x2) and that of cos-1(x)=-1/√(1-x2). And…

Q: Find the exact value of tan (–1740)°. 2 1

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: