Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence 10, 5, 0, -5,... d = a5 = an a100 =

Q: Consider the following. -5 3 -HAN A = 2-5 B = 1 2 1 0 (a) Find A + B. 3 5 -3

A: we have given

Q: A rover on Mars leaves Station A and travels 22 km due east to sample rocks at Outcrop B. It then…

A: Given that,find the angle

Q: Identities cos¹ x+cos (-x) -- sec¹ x = tan x tan¹ (-x)-. R/2 I sin sec¹ x = Page 3 of 3

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Q: Use a double-angle formula to find the exact value of the given expression. 2 cos²157.5° - 1

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Q: Solve the equation for solutions in the interval [0,2 π ). Cos2x= √2 - cos 2x

A: The given equation

Q: Verify the identity. cos2 0(1+ tan n2 ²0) =

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Q: evaluate cos(sin-1(1/7pi))

A: The given expression is .To find: evaluate the given expression.Formula used:.

Q: sin , if = tan -1 V1 í x

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Q: Indicate the answer choice that best completes the statement or answers the question. 1. Find the…

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Q: Provide a trigonometric equation. Considering only the space between X = 0 and 2pie, the equation…

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Q: Determine whether the graph is that of a function. If it is, use the graph to find its domain and…

A: Yes the Graph is that of the function described.The Graph of the function y= 2 sin(x+π/4) is shown…

Q: solve in very simple steps so i can follow along sin theta/2 -costheta=0 (greater than 0 less…

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Q: Ө Ь X E

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Q: Let ƒ(x) = e15—16x and let the inverse function of ƒ (x) be f-1 (x)

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Q: Find all solutions to the following triangle. (Round your answers for angles A, C, A, and C' to the…

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Q: Find the sum. 5 Σk² k = 1

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Q: K Solve the equation for x, where x is restricted to the given interval. (- y = - 1+2tan x. for x in…

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Q: 88. Angle of Elevation A 28-foot building casts a 40-foot shadow on level ground. Find the angle of…

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Q: Prove the half-angle identity sin A/2 = ±√((1 - cos A)/2)

A: Consider the identity

Q: A parallelogram has sides of lengths 7 and 4, and one angle is 44°.

A: p=x2+y2−2xycos⁡A=x2+y2+2xycos⁡Bq=x2+y2+2xycos⁡A=x2+y2−2xycos⁡B

Q: a tower leans at an angle of about 84.7 the figure shows that 165 ft from the base of the tieer the…

A: a tower leans at an angle of about 84.7 the figure shows that 165 ft from the base of the tower the…

Q: Determine the values of ? if −pi ≤ (theta) ≤ 4pi given that sin (theta) = −0.05

A: Consider the equation

Q: Use trigonometric identities to solve the equation in the interval [0, 2л). 4 cos ²0+6 sin 0-6=0

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Q: ithologists have determined that some species of birds tend to avoid flights over large bodies of…

A: As per our guidelines we can solve one question only or first three sub parts only. If you need more…

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b>0. Determine the equation…

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Q: s²x+cos x = 0, solve for x in the ≤ x < 360°.

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Q: Write the complex number in trigonometric form. 8i =(cos+isin) 8i =

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Q: A triangular field has sides of lengths 20, 42, 46 km. Enter your answer as a number; answer should…

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Q: Suppose sin A Then sin 2A 15 and A is an angle in Quadrant One. 17

A: we are given sinA and we need to find out the sin2A

Q: Use a double-angle formula to find the exact value of the given expression. 1-2 sin ²22.5°

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Q: From a window 33.0 ft above the street, the angle of elevation to the top of the building across the…

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Q: Solve for x in the interval [0,27]. Make any necessary substitutions using identities. Keep answers…

A: The given equation is,Substitute

Q: An equation of a parabola is given. (y + 3)² = 28(x – 5)

A: An equation of a parabola is given(y+3)2=28(x−5)

Q: The height of the tree is approximately feet. (Round to one decimal place as needed.)

A: Given that the angle relative to the horizontal from top a tree to a point 14 feet from its base is…

Q: (a) Find sin 20, cos 20, and tan 20. (b) Use a calculator to support your results. 17. cos 0 = and…

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Q: Suppose that the height above ground of a person sitting on a Ferris wheel is described by the…

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Q: The monthly income I, in dollars, from a new product is given by I(t)=8100-6500e-0.002t where t is…

A: Solve the given question.

Q: Verify the identity. tan² (u) - sin²(u) = tan² (u) sin²(u) sin²(u) tan² (u) sin²(u) = = = sin²(u)-(…

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Q: The y intercept of the graph of y=-6x - 32 in the XY plane is (0,y). What is the value of y

A: The given equation is,

Q: Consider the following. -2 A = 3 -1 0 -1 2 -4 3 3 (a) Find A + B. (b) Find A - B. (c) Find 2B. (d)…

A: The given matrices

Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. X = Y 33° 98 38°

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Q: A Ferris wheel was built for an exposition. It held 2100 people, had diameter of 251 ft, and took 25…

A: Diameter = 251 ftTime = 25 minute

Q: If Cos √3 2 calculate the value of O = and tan 0 = . where 00 < 2TT.

A: we are given the values of two trigonometric functions, we need to find out the value of the angle…

Q: The figure below displays a square extending off of side a that is split into two rectangles…

A: The given figure

Q: use an identity to find the exact value of the expression: sin(11pi/8) = (no decimal points)

A: to find the exact value of the expression: sin(11pi/8) using identity.

Q: Name the quadrant in which angle θ lies. cosθ > 0, cotθ < 0

A: To find the quadrant, we have to find the common quadrant in which both the conditions are…

Q: Use a double-angle identity to find the exact value of the given expression. 1-2 sin 2 8

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Q: Solve the right triangle shown in the figure. a = 13.2, b=24.6 b B

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Q: Solve by using a system of equations. Flying with the wind, a plane traveled 390 miles in 3 hours.…

A: Flying with the wind, a plane traveled 390 miles in 3 hours. Flying against the wind, the plane…

Q: A 110-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

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