Sketch the given vector with initial point (4, 1). u = (-5, 3)

Q: Consider the right triangle shown. What are the values of sinx and cos x? 5 sin x 12 COS X = 13 a.…

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Q: 1. Enumerate the six trigonometric ratios. 2. Give the impartance of trigonometric ratios in a real…

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Q: Eliminate the parameter t from the following Formulas Sum and Difference Formulas x = 3sin (t) y…

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Q: i) Which set of values is the solution for sin x = -,0sxs2x? a) -0.34 , 2.80 b) 5.94 , 3.48 c) 1.91,…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: The rabbit population at the city park increases by 5% per year. If there are intially 454 rabbits…

A: A)Population y in terms of y is given as;y(t) =P0 (1+r)t P0=454 r=0.05 y(t)=454 (1.05)t

Q: 57,5ec(c05" sec/cos!

A: seccos-115

Q: 2(cos (÷) + i sin (÷)) Find the cube roots: 2 ( cos

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Q: Plot the points with the given coordinates. Be sure to label each. a. (2,30°) b. (3,210°) c.…

A: All points are plotted.

Q: Use a graphing utility to graph the trigonometric function. Use the graph to make a conjecture about…

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Q: Find dydx for the function y=3x.

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Q: sec3x=-1 *find all solutions if 0≤x<2π. Use exact values only

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Q: A girl of height 150 cm stands in front of a lamp-post and casts a shadow of length 150 V3 cm on the…

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Q: Find the angle between the given vectors. Round to the nearest tenth of a degree. u = -i + 4j, v =…

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Q: Simplify the expression as much as possible. 1 1 1 – sin(t) 1+ sin(t)

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Q: Solve the equation sin 2θ − cos θ = 0 if 0◦ ≤ θ < 360◦.

A: Solution :sin2θ-cosθ=02sinθcosθ-cosθ=0cosθ2sinθ-1=0cosθ=0  , 2sinθ-1=0θ=π2,3π2   ,sinθ=12θ=π2,3π2,…

Q: Question 7 Using Heron's formula to find the area of the given triangle, what is the value of s? 45…

A: herons formula is  A =s(s-a)(s-b)(s-c) where s = half perimeter s = (30+45+21)/2 s = 96/2 s = 48…

Q: 1. 1-Cos? X= tan x cos x sin x 2. cos x tan3 x= sin x tan? x

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Q: Direction: Complete the proof below. sin(A+B) tan A+tan B Verify if sin(A-B) tan A-tan B Statements…

A: tanA+tanBtanA-tanB=sinAcosA+sinBcosBsinAcosA-sinBcosB…

Q: Find sin(2A), if sin(A) = 45 and A is in quadrant 3. 53

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Q: 12.) Juan and Erin are both looking up at a drone flying in the air. Juan is 110 feet from the drone…

A: Juan and Erin are both looking up at a drone flying in the air.Juan is 110 feer from the drone at an…

Q: Find the sum £4(0.2)", where n = 0 to oo. Show your formula and work. You cannot just %3D use a…

A: ∑n=0∞ 40.2n

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A: Let 'x' be the length of the building from three floors The full length of the building across the…

Q: Write an equation for the line graphed below y 5- 4, B- 2- 1- -6 -5 -4 -3 2 -1 1 3 4 5 -1- -2- -3-…

A: Given query is to find the equation of the line.

Q: What is the length of the other leg? Round your answer to the nearest tenth. 70 5.7 490 A 20-foot…

A: Find your answer below

Q: In Problems I to 4, integrate with respect to the variable. cos 7t cos 3t 1. sin 5t cos 21 sin2x sin…

A: As per the company guidelines We can first three parts . Please understand. Kindly repost the…

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Q: Lauen is making a roof made of tarpanlin and stretched at pointa A, H, and C which are ocated in a…

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Q: 0.98 On the following unit circle, 0 is in radians and tan(0) = 4.9. 0.2 1 (0.2, 0.98) 1 -1 Without…

A: Given :tan(θ)=0.980.2=4.9And given in the graph θ is the unit circle.To find : tan(π-θ)=and…

Q: Graph cach function using radians.

A: The given equation is:  y=12cosθ3+1

Q: Question Given z = 1 + V3i, find zº using De Moivre's Theorem. Select the correct answer below: O 32…

A: First I have written De Moivre's theorem, then write the given z into polar form and using the De…

Q: Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. P1 =…

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Q: 2. Convert from polar coordinates to rectangular (−2, −14pi/ 5 ) 3. Convert from rectangular to…

A: This question can be solved using the concept of rectangular and polar form of coordinates of a…

Q: r(t) = tan (t – 2/7) + 0.1t² A student is asked to write the limit definition of the derivative at t…

A: Step 2:  Mistake 1:  The arrow pointing from π+h to π is not required or making sense.

Q: 36 and A is in quadrant 4. 85 Find cos(2A), if sin(A) =

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Q: Analyze the graph of the function f (x) = 3|x + 9| +10 compared to the graph of the absolute value…

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Q: 7. *cos(2) dr 7.

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Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0 s0< 2x. (V18, v 18 (r, 0) =

A: (x, y)=(18, 18)r=x2+y2r=18+18r=36r=6θ=tan-1(yx)  =tan-1(1818)  =tan-1(1)θ=π4

Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Find your answer below

Q: sin(0) = ² 3 and 2 0<itwhat is the exact value of cos(20)? Given that Explain how you determined…

A: Apologies for the inconvenience.   Given that: sinθ=23 and π2&lt;θ&lt;π. We have to solve for cos2θ

Q: A rectangular parking lot with a perimeter of 520 feet is to have an area of at least 6200 square…

A: We have to use fellowing formula: Perimeter of reactangle : P = 2 (length + width) Area of…

Q: Find the inverse of the function on the given domain. f (2) = (x – 16)2, [16, 0) f-1 (x) = 国画

A: We need to find inverse function.

Q: Verify that the equation is an identity. Csc8 = sec 0 cote Csce %3D cot0 What transformation is made…

A: Take Left hand side and show the right hand side .This is the verification.

Q: Write the complex number in standard form a + bi: 8(cos 210 – i sin 210)

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Q: Suppose AABC and AXYZ are similar right triangles. For AABC, the length of the side opposite ZA is…

A: Similar TriangleTwo triangles are similar if they have the same shape but not necessarily the same…

Q: -5. Find the missing side. When the angle of elevation from the moon is 45°, a building casts a…

A: Given query is to find the height ifbthe building.

Q: 05- 2, Si

A: Given problem:- sin(cos-1(1/2))=?