Sketch the graph of each equation by making a table using values of u that are multiplesof 45°.    r = sin 2 theta

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at I = 4 and roots of multiplicity 1 a...

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Q: 80. tan 0+1- sec? 0

A: tan2θ+1=sec2θ We need to answer the given question.

Q: ample #2 ultiply the polynomials (x – 1)(x* + x³ + x² +x+ 1) using a table. Generalize the pattern t...

A: the polynomial given to us is (x-1)(x4+x3+x2+x+1) solving the brackets we get  =x(x4+x3+x2+x+1)-1(x4...

Q: 17) Explain why these two quotients are different. Compute each one. (x – 2)* x* - 16 and X-2 x- 2

A:   (a-b)2= (a-b)(a-b) and a2-b2=(a-b)(a+b) ------------------------------------------------------...

Q: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: Prove the identity

A: Givencsc2A tan2A-1 = tan2A  

Q: Change each equation to rectangular coordinates and then graph.       r(1 - sin u) = 1

A: Given polar equation is r1-sinθ=1 This can be written as r-rsinθ=1 In polar coordinates, we have x=r...

Q: Find the remaining trigonometric ratios of theta based on the given information. sec = -3 and sin is...

A: The given trigonometric ratio is secθ=-3 and sinθ is positive. secθ=3-1=rx By using the Pythagoras t...

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: Evaluate without using a calculator.      cos  (cos    -1 5/13)

A: coscos-1513

Q: 90. (sin 0- cos 0) - 1= -2 sind cos 0 o€) 1=-2 sin & cos 0 COS

A: Given: sinθ−cosθ2−1=−2sinθcosθ We have to prove the given identity. Identity used: sin2θ+cos2θ=1

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Given cos ? = 1/5 and θ is not in quadrant 2. Find the remaining five trigonometric functions of θ.

A: Given: cosθ=15 and,  θ is not in quadrant II. Here, the objective is to find the remaining five trig...

Q: What is a vector?

A: A quantity that has magnitude as well as direction is called a vector.

Q: A hot-air balloon is flying over a dry lake when the wind stopsblowing. The balloon comes to a stop ...

A: In △ACD, tan 12∘=DCACAC=450tan 12∘=4500.2125≈2117 ft

Q: The initial and terminal points of a vector are given. Write the vector as a linear combination of t...

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Q: Use the unit circle to find the six trigonometric functions of each angle.     5p/3

A: Given that, θ=5π3. To find six trigonometric functions, draw a circle with unit radius.       

Q: [3 cis 80 degree ]4

A: Given information: 3cos80∘4    

Q: find the remaining trigonometric functions of theta based on thegiven information. sec theta =13/5 a...

A: secθ=135 and  sinθ<0

Q: Example 1: Using these expressions, we can generate Pythagorean triples. Find a Pythagorean triple f...

A: Consider the expressions, from which we can generate Pythagorean triplets  x2-y2,     2xy,       x2+...

Q: Find one possible missing coordinate so that the point becomes a solution to the given inequality.  ...

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Q: Use the given information and a calculator to find theta to the nearest tenth of a degree if0 degree...

A: Given  sin theta = 0.2644 We have to find theta

Q: which of the six trignimetric functions are odd? and which are even?justify the answer using trignom...

A: Even function: f(x)=f(-x) Graph of even function is symmetric with respect to the y-axis, meaning th...

Q: How many triangles are possible if angle A is greater than 908 and side ais less than side b?

A: Known fact: 1. All the interior of triangle should be positive. 2. the sum of all interior angles of...

Q: hey, can you help me with this please?

A: Here, we are going to solve the only 1st question and for the remaining question post the question a...

Q: Use the information given in the diagram to find A to the nearest degree.A =    °

A: we have to  find A to the nearest degree.A =    °

Q: In the figure below, the length of AB is 6 unit and the length of CD is 9 unit. AB and CD are perpen...

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Q: Match each trigonometric function with its cofunction. (a) sine cotangent cosine     cosecant   (b)...

A: The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant and...

Q: Measuring distance on Earth. The distance between two points A and B on Earth is measured along a ci...

A: Given that:   The distance between two points A and B on Earth is measured along a circle having cen...

Q: Simplify each expression.  a).  cos^2(7x)-sin^2(7x) b). sin15°cos15°

A:

Q: 9.-       A strong gust of wind strikes a tall building, causing it to sway back and forth in da...

A: Given the frequency of the oscillation that is 0.5 cycle per second and damping constant c=0.3. We n...

Q: 3) Use the given information to find (a) sin(s+t), and (b) tan(s+t) and (c) the quadrant of s+t. (a)...

A: 3) It is given that cos s= 3/4 and sint= 5/13, s and t are quadrant 1 a) sins=perpendicular/hypotenu...

Q: On the graph of f(x) = cot x and the interval [0, 27), for what value of x does f(x) = -1? Choose al...

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Q: The following problem involves directions in the form of bearing, which we defined in this section. ...

A: Given             A boat travels on a course of bearing S 65° 50' E for 102 miles.                  ...

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second buildi...

A: Given: The height of building =200 meters and angle of depression  from top of building to bottom of...

Q: Refer to right triangle ABC with C = 90°. Begin each problem bydrawing a picture of the triangle wit...

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Q: Show that

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Q: Find EXACT values. Do not use a calculator. Write answers with fractions and/or square roots. No dec...

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Q: Verify the identity. (Simplify at each step.) 6 cos? B – 6 sin?ß = 6 – 12 sin² ß 6 cos? B – 6 sin? ß...

A: consider the identity 6cos2β-6sin2β=6-12sin2β consider the Left Hand side of the given identity 6cos...

Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here , LH...

Q: This problem refers to right triangle ABC with C = 90°. Begin the problem by drawing a picture of th...

A: The right angle ABC and c = 88 cm

Q: Show that each of the following statements is an identity by transforming the left side ofeach one i...

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Q: Write each equation with rectangular coordinates.      r2 =  4 sin 2 theta

A: