Write the equation of a sine function that has the following characteristics. Amplitude: 9 Period: 8x Phase shift: 8 *** Type the appropriate values to complete the sine function. y=sin(x-1) (Use integers or fractions for any numbers in the expression. Simplify your answers

Q: (5) Find the exact solution of the equation 3 cos (4x)=2x.

A: Given equation, 3cos-1(4x)=2π So, cos-1(4x)=2π/3

Q: Given cos(a) = and sin(a) <0, calculate the exact value of cot(a) and csc(a). Show your work.

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Q: Practice 12. Find the unknown sides x and y, to the nearest thousandth. Please note that the…

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Q: Simplify the expressions below. (a) sin(arcsin()) -00 < x < 00 (b) For what values of x is your…

A: The given expression, sinarcsinx4 We have to find the required values.

Q: (b) If t= tan- , express 0 2' sin 0+ sin 1+cos $2/20 + cos in terms of t.

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Q: Simplify the following trigonometric functions using the unit circle. 1) 7 cot (7) + 8 sec ec (5/57…

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Q: Angles A and B are located in the first quadrant. If sinA = 5/13 and cosB = 3/5, determine the exact…

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Q: Find the area of the triangle having the given measurements. C=122°, a=9 meters, b = 6 meters

A: solution:- a=9 metersb=6 metersC=122°  Area of triangle without right angle is:…

Q: sin 20; sin 0 1 in Quadrant II

A: Given query is to find indicated angle.

Q: Graph f(0) = -2 cot (8) +2 where -≤ 0≤T.

A: The given function fθ=-2cotθ-3π4+2, where -π≤θ≤π We have to sketch the graph of the function.

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. HINT:…

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Q: The following involves a trigonmetric equation in quadratic form. Solve the equation on the interval…

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Q: A rectangle is to be inscribed in a semicircle of radius 6 cm as shown in the figure bel -6 cm- Find…

A: solution:-radius, r=6 cmusing trigonometric ratiosOA=rcosθAB=rsinθ

Q: Using the right triangle below. 5 O Evaluate the following trigonometric functions. cot B sin 0 =…

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Q: Finding the Component Form of a Vector In Exercises 13-24, find the component form and the magnitude…

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Q: 71. cos 50° + i sin 50° cos 20° + i sin 20°

A: Given query is to simplify the expression.

Q: Question 5: A sine curve is shown on the graph below. -54 -4 -2 0 -5- -10- 2 P 4 6 Find the…

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin² (0) (1 +…

A: The given term is; sin2(theta)(1+cot2(theta)).

Q: Find the radius of a circle which has a sector of area 6 square feet determined by a central angle…

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Q: vertical pole AD and a vertical tower BC are standing on a horizontal ground. The height of the pole…

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Q: Find all solutions of the equation sin(theta/2) - 1 = 0

A: To find all solutions of the following equation.sinθ2-1=0

Q: Assume

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Q: In the triangle shown we can find the angle 0 as follows. (a) (b) (c) 0 = sin 0 = cos 8 tan 10 8 0 6

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Q: If tan x = sin(2x) cos(2x) tan(2x) = = = - 1 3 cos x > 0,, then ;

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Q: Determine whether the following statement is true or false. If x=3 is a vertical asymptote of a…

A: To determine whether the following statemnet is true or false.If x=3 is a vertical asymptote of a…

Q: PRACTISING 3. Determine the indicated side lengths and angle measures. c) F b) A 40 D 53 d 22.5 cm…

A: I am attaching image so that you understand each and every step.

Q: A magazine company had a profit of $98,000 per year when it had 32,000 subscribers. When it obtained…

A: Given query is to find the linear function.

Q: 2. An equation is given. (a) Find all solutions of the equation. (b) Find the solutions in the…

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Q: Given information: The number of hours of daylight that occur at any location on Earth depends on…

A: The model for Seward Alaska is: D=12.2-6.4cosπt+0.2182.6 The model for New Orleans is:…

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2pi)…

A: To solve: cos2θ+sin2θ=0 in the interval [0, 2π) We know that cos2θ = 1-2sin2θ

Q: Find all solutions sin(2theta)= 3cos(2theta) theta= ?

A: The given equation is; sin(2theta)= 3cos(2theta)

Q: what about the postive in this what happens to the positives if you don't mind me asking

A: The answer is in step 2.

Q: Graph f(0) = -2sin(ne) + 1 where 0 ≤ 0≤ 2. State the period and amplitude of the function. Use the…

A: Given function:- fθ=-2sinπθ+1

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. O A= B= C= O…

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Q: Find the reference angle for the given angle. (a) 235° (b) 1000° (c) -105°

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Q: Meghan received an excellent interest rate for her loan of $12,000. Calculate the nominal interest…

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Q: 7x Find the average rate of change of f from to 6 f(x) = tan x The average rate of change is…

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Q: 9 Verify each of the following trigonometric identities: cos - 1 cose + 1 (a) sec 0 + tan 0 sec -…

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Q: The point P in the figure below has y-coordinate Find the following. (a) (b) (c) (d) sin t cos t tan…

A: Figure:-

Q: (b) If t = tan = tan = 12¹ 2' prove 1+ sinx+cos x 1+ sinx-cos x = cot N|X

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Q: Graph each function using radians. Be sure to graph your asymptotes and name period, domain, and…

A: We need to determine domain, rage and graph. NOTE - As per Bartleby guidelines we can solve one…

Q: Find an exact simplified solution to the equation on the interval 0 < x < 1. 1 = 12cos(x + 1) - 5 X…

A: solution:-1=12cos(x+1)-5,    0&lt;x&lt;112cos(x+1)=1+5=6cos(x+1)=612=12x+1=π3x=π3-1x=π-33

Q: 4 If sin 0,0 in quadrant II, find the exact value of (b) sin (0+7) (a) cos 0 (a) cos 0 = (Type an…

A: We have to find out trigonometry value

Q: Use an appropriate half-angle formula to find the exact value of: sin 11pie/12

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Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

A: Given query is to find the value of the Indicated inverse function.

Q: Use the information given about the angle 8, cos 0 = - Ө (a) sin (20) (b) cos (20) (c) sin (a) sin…

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Q: ladder on level ground is leaning against a house. If the ladder's angle of elevation is 54 degrees,…

A: Given query is to find height of the top of the ladder.

Q: Find all solutions to the equation below in the interval [0,1π). Give all answers as exact values in…

A: Topic:- trigonometry

Q: Find the exact value of each expression, if it is defined. (If an answer does not exist, enter DNE.)…

A: Topic = Trigonometry

Q: Determine the reference angle, in radians, associated with the given angle. Write the exact answer.…

A: Topic- Reference angle  We are given, θ=9π5Reference angle is the acute angle betweem terminal side…