Write the complex number in rectangular form. If necessary, round to the nearest tenth. 25( cos 285° + i sin 285°) ... 25( cos 285° + i sin 285°) = (Type your answer in the form a + bi. Round to the nearest tenth.)

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

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Q: Solve the following triangle. B (Simplify your answer.) ax (Type an integer or decimal rounded to…

A: A triangle given whose sum measures are given and remaining measures are needed to be find.

Q: Solve the right triangle. b=1.73 c=4.72 A~° (Round to the nearest tenth as needed.) BⓇ (Round to the…

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Q: Find the area of the triangle having the given measurements. A = 41°, b=21 feet, c = 44 feet Area…

A: This is question of geometry here triangle is given we have to find area of trianglefurther…

Q: Test for symmetry and then graph the polar equation. r = 2+2 cos 0 a. Is the graph of the polar…

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Q: Two sides and an angle are given below. Determine whether the given information results in one…

A: b=4 , c=6, B=30

Q: Use the unit circle to find the value of tan and 6 even or odd trigonometric functions to find the…

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Q: Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to…

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Q: Establish the identity. tan u cot u - cos²u = sin²u Vrite the left side term cot u in term of tan u.…

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Q: Verfiy the identity. sin 2 theta/ 1-cos 2 theta= cot theta Rules are Algebra, Reciprocal,…

A: To prove that the equation we can use the trigonometric identities to simplify the left-hand side of…

Q: Verify the identity. (Simplify at each step.) COS ( 57 - x) = -√² (cos(x) + sin(x)) 4 2 cos( 57 - x)…

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Q: III. Project Work (C 1. Use the radius of your wheel to write an equation of a circle, centered at…

A: We are given with the  multiple number of question and our guideline is solve first question so…

Q: Find the quotient form. Z₁ Z₂ Z₁ of the complex numbers. Leave your answer in polar Z2 Z₁ = 63( cos…

A: Z1= 63( cos 125° + i sin 125° )Z2 = 7( cos 25° + i sin 25° )

Q: Find the amplitude, period, and frequency of the simple harmonic motion of a particle moving…

A: To determine the amplitude, period, and frequency of a particle undergoing simple harmonic motion…

Q: Use the identity above to find the roots of the cubic x³ - 3x²-3x + 1 = 0 and hence find the exact…

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Q: Solve the triangle. Round the lengths of sides to the nearest tenth and angles to the nearest…

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Q: What is the magnitude of t? 1(√5,9) 1+ t = [?] Ï Round to the nearest hundredth. Enter

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Q: 1 13 2' 2 √3 (-423-4) '2 √3 2 2¹ (-1,0) 2 √3 2 (0,1) (0, -1) T 3 元 6 (1,0) √√3 2' 2 √√3 2 √3 2 √3 2…

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Q: Use a half-angle formula to find the exact value of the expression.

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Q: Find zw. Leave your answer in polar form. z = 5 cos T 2 - + i sin 2 T W=3 cos+isin 5 RN 650 5 T JU…

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Q: Prove that three distinct points p, q, r in projective space P²2 they are aligned yes and only if p,…

A: Prove that three distinct points p, q, r in projectile space PR2 . they are aligned yes and only if…

Q: 3. Find all solutions to the trigonometric equation: 3csc² x -4 = 0

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Q: Express the sum or difference as a product. sin 8x + sin 2x

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Q: Starting from her camp site, a camper goes out on a hike. For the first leg of the hike, she hikes…

A: To find the distance, how much she needs to walk to reach her camp.

Q: A piano tuner uses a tuning fork. If the B one octave below middle C has a frequency of 249…

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Q: Find all solutions of the equation in the interval [0, 27). sec 0=2.4192 If there is more than one…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: What is the direction of t? t (4,-5) 0 = [?] degrees Round to the nearest hundredth. Enter

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Q: Use a calculator to find the following. Round your answer to four places past the decimal point.…

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Q: Enter the number that belongs in the green box. [?]° 5 6 2

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Q: 2. Answer must be handwritten and step by step clear explanations. . Convert the following angles in…

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Q: Solve the triangle using the labels as shown in the figure below. (Kound lengths of side angles to…

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Q: For the expression below, write an equivalent algebraic expression that involves x only. (Assume x…

A: Given expression is

Q: A famous leaning tower was originally 184.5 feet high. At a distance of 127 feet from the base of…

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Q: < 7₁ Find the reference angle for 0= 6 *** 7t The reference angle for is 6 (Simplify your answer.…

A: To find the reference angle for , we need to determine the acute angle formed between the terminal…

Q: 1. Answer the following questions. Be sure to show your work. A weight is attached to a spring…

A: The solution is shown in step-2

Q: Find the area of this triangle. 10 88° 12 [?] square units Round to the nearest hundredth. I Enter

A: The given triangle is a SAS triangle as two sides of the triangle and an angle between them is…

Q: Plot the complex number and find its absolute value. - 8+6i Plot the complex number on the complex…

A: In this question, we want to plot the given complex number and find its absolute value.

Q: 5|8 If sin 0=- (a) cos 0 0 in quadrant II, find the exact value of (b) sin 0+ π (c) cos 8- SH (b)…

A: Given that quadrant II(a) using the identity in quadrant II cos is negative then

Q: Use a calculator to evaluate each expression. {Round your answer to three decimal places.} csc…

A: Use a calculator to evaluate each expression. {Round your answer to three decimal…

Q: Ау 4 2- -2- -4- -6- 5л 16 5л В X О

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Q: ← Graph fin [-21,21,1/2] by [-1,1,1/6]. State the amplitude, period, and phase shift. (¹+3)) 1 f(t)…

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Q: You will be using sin¹¹, cos^¹, tan^¹. Find the following angles: i. sin 0 = 0.7071, 0= ii. cos A =…

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Q: Convert the rectangular equation to a polar equation. Express r in terms of 0. 4x + y = 5 r= (Type…

A: The given rectangular form of the equation is,4x+y=5

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: Two sides and an angle is

Q: What is the area of a sector when r = 3 and 0 = radians? ㅠ ? sq units

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Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

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Q: Verify that the equation is an identity. Show that 1/ 1+ sec x- 1/1- sec x= 2 cot x csc x.

A: Formula used

Q: Find the exact value of cos15° using a suitable half angle formula. O√1-√3 2 O√1+√3 2 √√2+√3 2 2-√3…

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Q: erify the identity. Show that tan( x+ pie/4) = sin x+ cos x/ cos x- sin x

A: Formula

Q: Find all the complex cube roots of w= 8( cos 180° + i sin 180°). Write the roots in polar form with…

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