use a half number identity to find an exact value for the function sin x/2, given the information about x. tan x= √5 and 0 < x < π/2

Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

A: By using the half-angle formulas to determine the exact values of the  sine, cosine, and tangent of…

Q: You are given that cos(A)=−5/13, with A in Quadrant III, and sin(B)=5/13, with B in Quadrant I. Find…

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Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 5.9sin(0.44t)…

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Q: Show all of your work and box your final answers. No calculators are allowed. You may use the…

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Q: Write this pair of parametric equation in rectangular form:   x=t, y=t^2/3

A: Given parametric equation:- x=t,y=t23

Q: Find (21) (2₂) if 21 4 (cos 76° + i sin 76°) = 22 2 (cos 59° + i sin 59°) Simplify as much as…

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Q: What is the value of sec 0 02 O O-1 c(₁ √3 2 = 100 3

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Q: Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Use the Pythagorean…

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Q: 15. Tan 150 =

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Q: 10. Factor each polynomial completely. (a) 10p²-15q² +19pq (b) 14+53 +147-6

A: According to our guidelines, we can answer only the first question or the first three subparts of a…

Q: 2. Find a general expression for y given that dy 9x-2 = dx 3√x

A: Given: dydx=9x-23x

Q: (3√2+323 +33) 2

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Q: Considering only the values of α and β for which sin(α+β)/sinαsinβ is defined, sin(α+β)/sinαsinβ= ?…

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Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 3.5sin(7t)…

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Q: Evaluate the following expression. Leave your answer in radians. Provide your answer below: resin…

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Q: Find dy/dx by implicit differentiation. x Iny+y=xyó 6x5y6-In y dx x − 6x6x6 + y AP w 6x5y7-yhy-1 Á +…

A: The given function x ln y+y=x6y6. We have to find the derivative using implicit derivative.

Q: sin 5.x cos 5x ERCISE & Prove that: X (1) cos(A+B)+cos(A-B)=2 cos Acos B cosy+sin y cos.x+sinx *(3)…

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Q: 3. Find the x to the nearest whole number. Y 148 X 12 25 X Z

A: Triangle ∆ YXZ  XY=12  XZ=25  ∠ XYZ=148

Q: 1 Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 7.4sin(2.9t)…

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Q: Find the exact value of the trigonometric function given that sin u = sec(v - u) and cos v== 41…

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Q: Report your answer as a simplified fraction. Provide your answer below: $(-1/2) arccos

A: We have to find the value of given inverse trigonometric function.

Q: 4. Find the angle measurements of all angles in the triangle below to the nearest whole degree.. B A…

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Q: Graph x^2+y^2=121

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Q: Find dy/dx by implicit differentiation. 1/3-1/3-1 °.(3) 2/3 ° 2/3 () ° (³ 2/3 X23

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Q: Solve the right triangle. C B C 43.0899 a 57.858 cm

A: As we know from the Sine Rule: asinA=bsinB=csinC   Given: So, b=57.858 cm, ∠B=43.0899°, ∠C=90°

Q: Convert the complex number z = 6+3i to its trigonometric form. Write r in simplest radical form and…

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Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

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Q: 6. The rate of rotation of a wheel is 8 revolutions per second. Determine the following: (a) the…

A: (a) The angular speed of the wheel is given by the formula: ω = 2πf, where f is the frequency of…

Q: Which of the following is the simplified expression of 1- 1 sece -cos?

A: SOLUTION-

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

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Q: The function f(x) = x³ − 7x² + 4x + 2 is graphed below. Plot a line segment connecting the points on…

A: According to question,Given Function,fx = x3 -7x2 +4x +2

Q: On the graph of f(x) = sin x and the interval [2, 4), for what value of x does f(x) achieve a…

A: The graph of fx=sin x given in the interval [2π, 4π). We have to find the value of x for which the…

Q: 5. Factor each polynomial completely. (a) 20x² +21x+4

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find the equation of the graph given below. When entering in your answer, use the letter z rather…

A: y=AsinBx-C+D ⇒A=Amplitude ⇒C=phase shift⇒D=Vertical shift⇒T= Tiime period and T=2πB

Q: 1. Name three co-terminal angles for 212°:

A: Note:- Since you asked multiple questions, as per our policy we can solve only first question for…

Q: Given sine 32/5 which of the following can be proven using a Pythagorean identity? 5 and cose=

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Q: You are given that sin(A)=8/17, with A in Quadrant II, and cos(B)=4/5, with B in Quadrant I. Find…

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Q: How many solutions exist for the equation cos 28-sin²8=1 on the interval [0, 360°)?

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Q: For the function f(x) = csc x, set the moving point to a value that is not possible for f(x). Sorry,…

A: To determine the position of the point such that value of the function is not possible at that…

Q: The function f(x) = x³ + 4x² − 7x - 20 is graphed below. Plot a line segment connecting the points…

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Q: 87 3 Let 8-1 Part A: What is a coterminal angle of such that 0 ≤ 0≤ 2n? Part B: What are the exact…

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Q: What quadrant does the terminal ray of the angle drawn in standard position lie in for the…

A: Given: Radian : -5π 11

Q: Find the derivative. Y=25×-1 O 25*-¹ In 25 O 25*-¹ Inx Ⓒ25*-¹ In 25* - 1

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Q: Given AABC, what is the mZB? A 34° 11 B 10 C

A: Given query is to find measure of indicated angle.

Q: 4) x² - y²-25= 0

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Q: The population of a southern city follows the exponential law. Use this information to answer parts…

A: The population of a southern city follows the exponential law.  By using this information to answer…

Q: The first term of an arithmetic sequence is −12. The common difference of the sequence is 7. What…

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Q: Write the equation of the parabola in standard form that passes through the point (5, 5) with its…

A: Given :- Parabola passes through point 5,5 and vertex is origin

Q: Question 9 of 15, Step 1 of 1 The angle of elevation of a flying kite is 77 49'59. If the other end…

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Q: Find one solution for the equation. Assume that all angles involved are acute angles. sin (30-40°) =…

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