Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 52 degrees at midnight and the high and low temperature during the day are 66 and 38 degrees, respectively. Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t. D(t) =

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

A:

Q: Assume

A:

Q: You are standing on an elevated observation platform 270 feet away from a tree on which you spot a…

A: NOTE: Refresh your page if you can't see any equations . from the given data make a figure

Q: o measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given query is to find the value of h.

Q: so what would be the rational function for this please just give the rational function in factored…

A: As we analyze the figure it has hole at x=3 , double root at x=-1 and asymptote at x=2.

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

A:

Q: Solve the equation on the interval 0 ≤ 0 < 2. π sin 20- = -1 What are the solutions in the interval…

A:

Q: y = and Sing

A:

Q: Write the given expression as an algebraic expression cos(2 sin ¹(x))

A: To solve in terms of x.

Q: range of ¹. f(x) = 4 sinz-7;

A:

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

A: We need to find out the value of cot(a) and

Q: The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in secon…

A:

Q: A trigonometric function is given. y = -7 cos(9x) (a) Find the amplitude, period, phase, and…

A: The objective is to solve the above question.

Q: - int(e-Ta

A: The objective of the question is making the graph of the given function.

Q: Solve all possible triangles with A = 49.3 degrees , a = 70.2 cm, and c = 85.5 cm. Round to 3…

A: To solve all possible triangles with A=49.3°, a=70.2 cm, and c=85.5 cm. To round to 3 decimal…

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r cos(0) =…

A:

Q: Please help 3.SOLVE FOR A, ON [ 0, 2 PI ):      SIN ( A ) = - ( 1 / 2 )

A: As per the rules we can answer the first question and rest can be reposted.

Q: Sin (1/6 + arceos -13%)

A: The objective of the question is determine the value.

Q: use trigonomic identities Simplify completely into an expression with sin(A) or cos(A) only:…

A:

Q: Please write a rational expression (in factored form please) that could produce this graph. Please…

A: The given graph is:

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

A:

Q: Write the given expression as an algebraic expression in x: COS (2sin-¹x)

A:

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: A clock is hung on a wall so that the center is 20 cm below the ceiling. The minute hand is 10 cm…

A:

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

A:

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

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: 7. u = (6,3) V = = (2,-4)

A:

Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A:

Q: If tan 0 = 6/3 and cos 0 > 0, then without finding the angle, find the exact answers to the…

A:

Q: A pendulum at rest is hit to put it in motion. The distance the pendulum is from its resting…

A:

Q: Rewrite the expression as an algebraic expression in x. sin(tan-¹(x))

A:

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

A:

Q: cos¹ (tan i tan e)] The formula D=24 1 can be used to approximate K the number of hours of daylight…

A: Given that formula for the number of hours of daylight D=241−cos−1(tanitanθ)π

Q: 5. The London eye is an observation tower with a radius of 68 m. Rides consist of 2 revolutions,…

A: Solution (5) : From the given information of have to gond the value of time when will the ride reach…

Q: Using the Law of Sines to solve the all possible triangles if /B = 50°, a = 101, b = 43. If no…

A:

Q: Finding a Unit Vector In Exercises 47-56, find a unit vector in the direction of the given vector.…

A: Given:     v=-1,1 Let us denote by x^  a unit vector in the direction of a given non-null vector x→…

Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

A:

Q: Domain and range of cos x

A:

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

A:

Q: tan(0) = csc(0) = sec(0) = 8 cot(0) = 41 3281 9 40 Find the other five trigonometric ratios of 0.…

A:

Q: The number of hours of daylight in Boston is given by 6-3 sin( daylight that Boston will experience?…

A: Given fx=3sin2π365x+12

Q: Use the word bank below to fill in each label. 312 :: Amplitude :: Midline 21 782 Period :: Maximum…

A: By using the word bank to fill in each label in the following figure.

Q: Finding the Angle Between Two Vectors In Exercises 31-34, graph the vectors and find the degree…

A:

Q: 5rad/4 to degrees

A: Given query is to convert the radian to degree.

Q: A 37-ft ladder leans against a building so that the angle between the ground and the ladder is 82∘.…

A:

Q: Using the Law of Sines to solve the all possible triangles if ZA = 120°, a = 32, b = 14. If no…

A: Given: ∠A=120°, a=32, b=14.

Q: Use the given information to find the exact value of a. sin 20 b. cos 20, and c. tan 20. cos = 21 --…

A:

Q: Suppose the temperature, T, on a particular planet oscillates between -60 °F and 200 °F every 33…

A:

Q: 48. -1 12 cos 2 tan-1 210

A: Topic - trigonometric identities We are given: cos2tan-1125Formulas requiredcos(2θ)=1-tan2θ1+tan2θ