sin x (주). f(x) : For 14. 1+ cos x , determine to the nearest hundredth. (Record your answer in the numerical-response section below.) Your answer:

Q: Is cos x= - V1 - sinx an identity? No O Yes

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Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: Write the expression as an algebraic expression in x for x > 0.

A: Since, we know that cos2 (x)=cos (2x)+12⇒2 cos2 (α)=cos (2α)+1By assuming α=12(cos-1x)⇒cos 12cos-1…

Q: Differentiate the given  sin-1(x3)

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Q: Rewrite sin (x + in terms of sin x and cos x. Enclose arguments of functions in parentheses. For…

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Q: Evaluate / cos“(x) sin³(x)dx. Include "+c" in your answer.

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Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: Verify the identity : cos (x - π/4) = √2(cos x + sin x)/2.

A: We use cos(A-B)=cosAcosB+sinAsinB formula

Q: Write an algebraic formula for sin[(sin^-1(u)-cos^-1 (v)]

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Q: How is the addition formula used in deriving the formula (sin x) , = cos x?

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Q: Q3) Use the addition formulas to derive the identity of (cos (x --): sin x ) %3D

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Q: Verify sin (x +) = cos(n – x) %3D

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Q: Verify the identity.

A: We have  cosx-5π2=sinx   It is known that cosA-B=cosAcosB+sinAsinB   Consider LHS:…

Q: sin 2tan

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Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: express as an algebraic expression in terms of x. sin(arctan(x))

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Q: Differentiate a $sin "(z) with respect to sin x.

A: We will find out the required value.

Q: how can you express cos x in terms of tan x?

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Q: Use an identity to solve the equation tan x - sec x = 1 on the interval [0, 2π).

A: The given equation is tanx-secx=1.

Q: Rewrite sin ( x in terms of sin(x) and cos(x). 4 |

A: sin ( a - b) = sin a cos b - cos a sin b

Q: Rewrite cos x in terms of sin(x) and cos(x) -

A: Trigonometry problem...

Q: 3. Determine the values of 0 if 0 < 0 < 2n_given that cosx = – 0.3178. Explain your process.

A: Given query is to find the measure angel.

Q: 8. Evaluate sin (x) cos(r)dr using an appropriate substitution.

A: here  we use the formula  ∫(xn)dx=xn+1n+1+C     according to our guidelines we can answer only…

Q: 6. When defining the inverse sine function, the domain of y = sin x is restricted to -÷<xs. a. Why…

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Q: Rewrite sin ( x + in terms of sin(x) and cos(x) 4

A: We know  sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

Q: Evaluate sin(x) · In ( cos(x)) dx using substitution.

A:

Q: Verify the identity: sin (3π/2 - x) = -cos x

A: To prove  sin (3π/2 - x) = -cos x

Q: evaluate y' for y = cos12x - sin^2 6x

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Q: Choose the equivalent sin'x O 1- cos-x

A: Given sin^2(x)

Q: Verify the identity. sin x- cos -x=2 sin x- 1

A: We have to verify the identity  sin2x - cos2x = 2 sin2x -1  To verify the given identity we will use…

Q: I am very confused about this concept. Any help would be great.   Thanks much.

A: Given expression is Let Plugging the value in the expression:

Q: what is the derivate of sin(x)cos(x)?

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Q: /2 sin-1 (-)

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Q: Rewrite cos ( x –) in terms of sin(x) and cos(x) 3

A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: Differentiate the given sin-1 x3

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Q: Write f(x) = -2 sin(x) + 4 cos(x) using a single sine function.

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Q: Find the exact value of the composition. 3) csc sin- 5

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Q: Determine the values of θ if 0 ≤ θ ≤ 2π given that cosx = − 0.3178. Explain the process.

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Q: Evaluate V2 cos sin-! 2.

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Q: Complete the statements.

A: a). As x→-1+, sin-1x→-π2

Q: V2. Equivalent of sin45 ° + cos60 ° is which one?

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Q: What is the range of 4 cos x + 1?

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Q: tx)+ Sin(꼴-)- -26S X %3D Prove sin

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Q: Use the addition formulas to derive: cos (x -) = sinx

A: The given equation is cosx-π2=sinx

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

A: To find the exact value of the expression whenever it is defined.           cos-1sin 0

Q: Evaluate: cos x-sin(sin x)dx and explain your answer in terms of odd/even functions.

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Q: Rewrite cos ( x in terms of sin(x) and cos(x). 3

A: Topic - Trigonometric identities Cos (a-b) = cos a cos b + sin a sin b