Graph each of the following relations. In each case, use the graph to find the domain andrange, and indicate whether the graph is the graph of a function.       y = |x-2 |

Q: Statement is true or false      The sine of the sum of two angles equals the sum of the sines of tho...

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Q: Cos(z)=

A: In ΔXYZ, With respect to angle z:  Perpendicular, P = XY = 4 Base, B = XZ = 3 Hypotenuse, H = YZ = 5

Q: 1. A quadratic function is defined in vertex form based on the equation f(x) =- (x+4)² – 2. Based on...

A: A quadratic function is defined in vertex form based on the equation fx=-x+42-2 a)      The vertex o...

Q: Suppose a 15-ft leans against the side of a house reaching a window that is 10-ft off the ground. a....

A: Consider the diagram: Where, AC is the ladder and AB is the side of the house BC is the Distance fr...

Q: A plane flies 1.5 hours at 130 mph on a bearing of 20°. It then turns and flies 4.1 hours at thesame...

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Q: Find the greatest common factor of the following terms

A: Given, The expression is -16p3q2+24p2q3-32p4q

Q: How would I solve this trig equation?

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Q: cosx tanx - sinx/ cotx = 0 verify the identity

A: cosxtanx-sinxcotx=0 cosxcotx-sinxcotx=0⇒sinxcosx-sinxcosx=0⇒sinx=0  or cosx-sinx=0⇒cosx=sinx ⇒x=nπ o...

Q: find the amplitude,period, phase shift and vertical shift:y=sin(2x+Pi/2)+1

A: The general form of the given function is, y=Asin2πPx+ϕ+C⋯⋯1 where  A is the amplitude, ϕ is the pha...

Q: Use a calculator to find each of the following (round to four decimal places):     cosec (-267.3)  0

A: To find value of csc-267.3°

Q: Trigonometry Question

A: 2×2 multiplication using the box method. For a+ba+b   Solve the expression using the box method, ...

Q: m3 + n3 = (m + n)(m² + mn + n²)

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Q: Question Which of the following is not in the domain of tan(x)? Select all correct answers. Select a...

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Q: Application problem using the quadratic equation:  A basketball player shoots a basket that is 25 fe...

A: Given Data: The horizontal distance of the player from the basket is: H=25 ft The quadratic equation...

Q: Verify that the following equation is an identity.  Cotxsin2x=1+cos2x

A: Using the result  cotx= cosx/sinx, sin2x= 2sinxcosx And cos2x= 2cos^x - 1.  

Q: Trigonometry Question

A: According to the question, we have to find the correct option that can not be solution of fx, where ...

Q: Find the area of the sector formed by a central angle of1.4 radians in a circle of radius 2.1 meters...

A: It is given that r=2.1m and θ=1.4. If θ (in radians) is a central angle in a circle with radius r, t...

Q: Trigonometry Question

A: Consider a function fx=sinx  and x∈[2π, 4π)

Q: A circular arc length 9 feet subtends a central angle of 20 degrees. Find the radius of the circle i...

A: Let l, in feet be the length of the arc, r be the radius of the circle and θ be the central angle of...

Q: The circle in the figure below has a radius of r and center at C. The distance from A to B is x. Red...

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Q: 3x-4y5 (2x³y-7) write the answer using only positive 19) Simplify the expression and exponents.

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Q: What is a area model ?

A: Given,          To define an area model.

Q: Find the length of the arc subtended by the angle 8∘ 12'8∘ 12′ with a radius of 11.4.   Give your an...

A: Given, Angle, θ=8°12' Radius, r=11.4 units Formula for the length of arc is given by S=r θ Where, S ...

Q: Example 3: Jeremy uses the polynomial identity (x² – y?)² + (2xy)² = (x² + y²)² to generate the Pyth...

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Q: Use the Cofunction Theorem to fill in the blanks so that each expression becomes a truestatement.   ...

A: Given Cos 70°=Sin____

Q: In the figure below, the distance from A to D is y, the distance from D to C is x, and the distance ...

A: Given∠A=42∘,  ∠BDC=53∘, AB=13 , DB=11 and AC=x+y

Q: a. Verify the identity by transforming the left-hand side into the right hand side.  cot(-x)cos(-x)+...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: How do I solve 9?

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Q: Use the given condition to find the exact values of the expression.   cosX = 24/25, sinX < 0, cos...

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Q: (tanx/ 1+tanx) - (cotx/ 1+tanx) = (1-cotx/ cscx-1) verify the identity

A: First solve LHS:

Q: Geometry Find the measure of one of the interior angles of a regular hexagon (seeFigure 2).

A: Given a regular hexagon.    

Q: Letter b.

A: a) The given equation is, 2sin2θ-sinθ-1=02sinθ+1sinθ-1=0sinθ=1⇒θ=4n+1π2, where n∈ℤor,sinθ=-12=sin-π6...

Q: Prove the

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Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 4 c...

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Q: Trigonometry Question

A: When graph cross the x-axis, then f(x)=0 therefore, cot x=0⇒cos xsin x=0  

Q: Use an addition or subraction formula to find the solutions of the equations that are in the interva...

A: sin7tcos4t=sin4tcos7t On simplification, we get sin7tcos4t-sin4tcos7t=0⇒sin7t-4t=0                  ...

Q: Find the solutions of the equation that are in the interval [0,2pi)  tan(x/2) = cscx

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Q: Find the solutions of the equations that are in the interval [0, 2pi). a.   cot2 x + (suare root 3)/...

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Q: Given cscθ=-2 and cosθ>0, determine the quadrant of θ and find the value of tan?.

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Q: Find the solutions of the equaiton that are int he interval [0, 2pi) 2 - 2sint = 2squareroot3 cost

A: Given 2-2sint=23cost Take square on both sides 2-2sint2=23cost24-2(2)(2sint)+4sin2t=4(3)cos2t4-8sint...

Q: Find the values sin2X, cos2X, and tan2Xfor the given value of X, cotX = 4/3; 180o < X < 270o

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Q: Point P moves with angular velocity w on a cirdle of radius r. Find the distance s traveled by the p...

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Q: 8) What is the result when x2 +x – 2 is subtracted from -x² +x – 4?

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Q: Solve triangle ABC given the following information.     B = 32.8 degree, a = 625 ft, and b = 521 ft

A: B = 32.8° a = 625 ft., and b = 521 ft.   Formula used sinAa=sinBb=sinCc