Solve the equation 2 cos²x+cos 2x = x = [0, 2π). 0 where

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A: Given that       cos(2x) = 1 - 2sin2(x)  and sin(pi/4)=√2/2 Here we have to find cos(pi/2).

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A: Here, 3 students are chosen from each senior, junior and sophomore.

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Q: Activity 5: Find the missing angle/s and identify whether the triangle is acute, obtuse, or either.…

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Q: with the restriction that 0° <0<90°: 1. Use your calculator and solve for 0 (correct to one decimal…

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Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: 8. Prove the following identity. cos30 = 4cos³0 – 3cos0

A: To prove the identity.

Q: Find the area of the shaded region in the figure. (Round your answer to two decimal places.) 48.44…

A: To find the area of shades reason.

Q: What is the exact value of tan(2x) if cot(x) =, Зп :?

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Q: 12-meter high post casts a 19-meter shadow. Find the angle of elevation to the sun.

A: Given query is to find angel of elevation to the sun

Q: 41" 36 10 2. 20 125 5 3. 25 95 5.5

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

Q: . Using the cosine rule, find the length of side b, rounded to 2 decimal places. B. Without using…

A: Solve the following

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Q: Application Determine the values of P, n, and i in the formula A = P(1+i) for each of the following:…

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Q: 9. Write 4x²y = 1 in Polar Form.

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Q: one windshield wiper is 50 units long and is affixed to swing arm which is 80 units long from pivot…

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Q: where did the 0.9520 come from?

A: ∠C= 180-43.188-29∠C =107.812°sin C =sin 107.812°          =0.9520That' show 0.9520 came in solving…

Q: 7. Find m L.A. Round off your answer to the nearest tenth. b.) 13 A 27 B 17 B 95 43 27

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Q: 6. Evaluate the geometric series. 8. Esk-1 k= 1

A: To find the sum of the given geometric series.

Q: Find all angles, 0° <0 < 360°, that satisfy the equation below. 4cos (20) – 3cos (8) +4 = -cos (0) +…

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Q: Find the area of the given triangle. Round the area to the same number of significant digits given…

A: Topic: Properties of triangle

Q: tane – cot0 a. Prove 1 – 2cos?0 6. Show 1– 8sin?0· cos²0 = cos(40) | tane + cot0

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Q: [2 Find x so that the equation is truel 6 0 L2 3 3 71 9 0 0 6 51 -3 T-1 4 9. 39 -6 12 -11 -1 x 37 -5…

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Q: The angle of elevation from a boat to the top of a 92-meter hill is 12. How far is the boat from the…

A: The angle of elevation from a boat.

Q: Find all solutions of the equation in the interval [0, 20). (Enter your answers as a comma-separated…

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Q: (ii) Prove the identity (2 - 2 cos 0)(sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0 –…

A: Prove the Identity: 2-2cosθsinθ+sin2θ+sin3θ=-cos4θ-1sinθ+sin4θcosθ-1 NOTE: Since you have asked…

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Q: Find the area of a triangle if A = 38.9°, B = 63.7°, and c = 42.0 cm. (Round your answer to one…

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Q: /3 and Cos v= 3/5 such i Suppose that sin both u and v in the 2nd quadrant as that are Nhat Is the…

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Q: Drake can rake a lawn and bag the leaves in 4 hours while Anna can do the same job in 6 hours. If…

A: To find how long will it take them to finish the job.

Q: Solve the trigonometric equation for all values 0 <0 <n 2 sin(2x) – 1 = 0

A: We will solve the trigonometric equation in the following step.

Q: many meters must the cat walk to reach the barn? а. 9.08 т c. 9.80 m b. 9.18 m d. 9.81 m 0. A kite…

A: angle of depression = 40  Therefore m∠CAB=90-40=50

Q: What is true about complementary angles? O Two non-adjacent angles that add up to 90 degrees. Two…

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Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: To match the graph with the given situation.

Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: 9. Simplify. sin-cos -

A: Simplify

Q: Age of the Factory workers Age No. of workers 42-44 13 39-41 18 36-38 23 33-35 20 30-32 24 27-29 16…

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Q: 3. Find each measure indicated-Round tonedrest 1oth m/B 2St 24ft

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 29 ft 22 ft

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Q: For the following complex number, give the following. 5 - 12i (a) the absolute value (b) the…

A: a. The absolute value of a complex number , a+bi (also called the modulus ) is defined as the…

Q: Solve the trigonometric equation for all values 0 <0 <n 2 sin(2x) – 1 = 0

A: Given :2sin(2x)-1=0

Q: Find two square roots for the following complex number. Leave your answers in trigonometric form.…

A: Here, z=25(cos 240°+i sin 240°)⇒z=25ei240π180⇒z=25ei4π3

Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

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Q: 3. у%3 tan nx

A: Given :   y=tan(pix)

Q: Suppose (−3, 4) is on the terminal side of θ. Find the value of r and the six trigonometric…

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Q: sin\theta = −3/5 and theta is in quadrant III then sin 2\theta =

A: In quadrant 3, both sin(theta) and cos(theta) are negative.

Q: Exercise 5.4 1. sin 0=0,5 Cos 0= 0,922 c) tan 0= 2,8765 1,9 d) sin 0 = 2,6 2 tan 0 = 1 202 ) 3 cos 0…

A: Just use inverse trigonometry

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Q: 2.) You are planning to venture into fish selling. You have a rectangular pond as shown below. The…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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