MAT 143: Algebra and Trigonometry Instruction: 1. Carefully read the question then answer. 2. Answer must be handwritten and step by step clear explanations. 5. Find the sum of the first 50 terms for the arithmetic series below. -50,-38, -26, -14,...

Q: What is the terminal side (T) of this angle in standard position? Y₁ A + Aeo B X I = B T = [?] Hint:…

A: We have,  Graph is given.

Q: Find if is between 0 and 90. Round your answer to the nearest tenth of a degree. sec (0) = 1.4325 0…

A: solution is given below

Q: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 28 foot…

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

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Q: Verify that the equation is an identity. Show that csc^2(-x)tan x/ cot(-x) = -sec^2 x Rules are…

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Q: What is the direction of w? (-5, 2) W 13 0 = [?] degrees Round to the nearest hundredth. Enter

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Q: Find all solutions of the equation in the interval [0, 21). - sin 20+2 cos0=0 Write your answer in…

A: The given equation is To find the solution of the given equation.

Q: Solve the triangle, if possible. y=156.7°, a=6.8, c= 15.4 Select the correct choice below and, if…

A: To solve the triangle, if possible.

Q: Given that sin 80 = 0.3577 and 0 is in quadrant I, find sin 20.

A: We have,Where,  is in quadrant I.To determine: The value of .

Q: A bullet is fired into the air with an initial velocity of 1,100 feet per second at an angle of 50°…

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Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A: The given polynomial inequality .We have to find the solution to the inequality.

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

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Q: Prove: sinxtan.x = secx - cos x

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Q: The temperature, T degrees Celsius, in a greenhouse at t hours after midnight for a typical November…

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Q: Gabriel is a rock climber. He stands at the top of a cliff that is 100 feet high. He looks down at…

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Q: Information is given about AABC. Determine if the information gives one triangle, two triangles, or…

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Q: ← Convert the following degree measure 46 40 radian measure. D 46°40' 0.8145 radians (Round to the…

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Q: ← Find the exact value of cos (a + B) if sin a = cos (α + B) = (Simplify your answer. Type a…

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Q: Write the following complex number in rectangular form. 10( cos 30° + i sin 30°) ... The rectangular…

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Q: Suppose a certain baseball diamond is a square 91 feet on a side. The pitching rubber is located…

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Q: + * ᎨᎵᏙ

A: To subtract angles, you need to convert the angles to a common format, such as decimal degrees.…

Q: True or False? Explain your answer. Because sin (−t) = − sin (t) , it can be said that the sine of…

A: sin (−t) = − sin (t)

Q: The three circles are arranged so that they touch each other, as shown in the figure. Use the given…

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Q: Establish the identity. sin 0(cot + tan 0) = sec 0 Write the left side in terms of sine and cosine.…

A: The solution is shown in step-2

Q: What is cot(-3)? K

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Q: Write the following complex number in rectangular form. T 8( 8 cos+ i sin 4 TU 8 COS + i sin 4 T T…

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Q: The given unit circle has been divided into eight T л equal arcs, corresponding to t-values of 0, π,…

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Q: Solve the equation for solutions over the interval [0°, 360°) 6 tan ²0 sin 8+3 tan²8=0 Select the…

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Q: Consider the following general triangle. (a) Determine the number of solutions. A = 67.6°, b = 42.5…

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Q: The angle of elevation to a mountaintop is 12°. If the mountaintop is directly above a point 19…

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Q: 38. Which trigonometric function is represented in the graph below? O cos(2(0+)) +1 Osin(2(0-)) +…

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Q: 9. Convert the following rectangular point to polar form: (-2,2√3) 10. Convert the following polar…

A: 9.Rectangular form (-2,2√3)We have to convert in polar form10.  given polar form (-2,-7π/6)We have…

Q: What is the magnitude of t? K t (4,-5) t| = [?] Round to the nearest hundredth.

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Q: Solve the triangle. A = 38⁰, B = 380, c = 5 C= (Do not round until the final answer. Then round to…

A: Given:We are required to find:

Q: Enter the number that belongs in the green box. 109° 6 13° Round to the nearest hundredth.

A: Given that     In a triangle two angles are 109° and 13°. And one side of the triangle is 6.

Q: Enter the number that belongs in the green box. [?]° 7. 6 10 Round to the nearest hundredth. Ent

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

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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: Solve the equation for 0≤x<2. etan x = 1

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Q: from the lighthouse, the angle of depression is 39°30'. If the height of the lighthouse is 63.5 m,…

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Q: This problem refers to right triangle ABC with C=90 degrees. begin the problem by drawing a picture…

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Q: Find all solutions of the equation in the interval [0, 2π). tan 0-√3=0 Write your answer in radians…

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Q: The following equation involves multiple angles. Solve the equation on the interval [0, 2л). cos 4x…

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Q: h Find tan 3. (-3,-4) B ?

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Q: What is cot 3? 4

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Q: Find all solutions in the interval [0,2л). cos 20-5 cos 0-1=0

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Q: A Which angle is coterminal with 7T? 6 14T 6 B 5TT -58 6 C - 56

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Q: Instruction: 1. Carefully read the question then answer. 2. Answer must be handwritten and step by…

A: a) b)

Q: Verify the identity. Show that sin(y-x)/ sin( y+ x) = tan y-tan x/ tan y + tan x Rules are…

A: The given identity is To verify the given identity.

Q: Solve the equation on the interval [0,2). √√3 2 - cos (20) = -

A: