Part 1: Reflect on and respond to the following: Can we write tan² (1.4) - sec² (1.4)=-1? Yes or No? Explain your reasoning. Your response should be clear, complete, and accurate.

Q: 6.) 12i¹0+ 24i24 12i+24i

A: As we know from the complex number, i=-1i2=-1 And use the exponent rule, abc=abc   To calculate the…

Q: 5. Given the equation x and y. r = 7 sin(0) + 3 cos(0) Rewrite the equation using rectangular…

A: Given query is to find rectangular coordinate system.

Q: 3. Find the exact values of each: (a) cos(13) (b) sin (c) tan ㅠ 3 3π

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Q: 11.) What is an equivalent form of 4 5+i -?

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Q: Use the vectors u = (2, 2), v = (−3, 1), and w = (4, −1)   to find the indicated quantity. (v u) −…

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Q: Find a coterminal angle with measure 0, where 0° ≤ 0 < 360°, for each of the following: 23) 650° 24)…

A: We need to find a coterminal angle with measure θ, where 0°≤θ&lt;360°,for each of the following:…

Q: The angle of elevation from a radar antenna to an airplane is 5°50". The antenna is 10 meters above…

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Q: 7. Satellites that are used for TV must remain over the same point on the Earth's surface at all…

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Q: What are the vertical asymptotes of the following rational function? O y = x-4 x²+7x+6 x = -1 X = -6…

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Q: Solve the following quadratic function to find the x-intercepts: f(x) = x² + 12x + 27 x = 4 and -3 x…

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Q: 29. If a projectile is fired with velocity vo at an angle of elevation with the horizon, then the…

A: The height of the projectile is modeled by the function: Mθ=4002 sin2θ64

Q: - Find lul, Ivl, 12ul, |v, lu + vl, lu - vl, and lul – lvl. u= = (1, -3), v = (-4,-4)

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Q: A 00 B 110°

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Q: The triangle below has sides with lengths a = 30,b= 56, and c = 71. Find the measure of the smallest…

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Q: a) cos(-) b) sin (3) using (b) c) esc inal Answer Final Answer Final Answer

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: If sin A = 3/5 with A in QII, and sin B = 4/5 with B in QI, find the following. cos(A + B)

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Q: Find the exact value of sec 20, given tan 0: = 3 4 with 0<0 < T 2

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Q: (sin A)^4-(cos A)^4

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Q: Question 10 a) Show that the equation can be written in the form 5 sin x = 1 + 2 cos²x 2sin² x + 5…

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Q: 4. sin x - cos x - sin x + cos x 2 tan x = 2 sin ²x - 1 1 + 2 sin x cos x cocx + cin x

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

Q: Question 6 Solve, if possible, the following equations for x, where 0 ≤ x ≤ 360: a) cosx-secx = 1 b)…

A: Note: Since there is a typing error in the interval 0≤x≤360, it shuld be written in degrees. So, we…

Q: sin-1 Зл 2

A: Given : sin-13π2

Q: 7.(9 pts) Find the values of the trig. functions. Approximate your answer to three decimal places.…

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Q: 2. A) Simplify the expression below using "factoring methods” as much as possible and "trigonometric…

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Q: 20. If the radius of a circle is 3 cm, then what is the measure of an angle that cuts an arc of…

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Q: a) Label the sides of the right angle triangle below as Hypotenuse (H), Opposite (O) and Adjacent…

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Q: exact solutions on the interval [0, 2pi). If the is more than one answer, enter them as a comma…

A: Given query is to find the values of t.

Q: Use the figure to answer the questions below 0 6 in α (a) Express 8 as a function of a. 6 -1 (19+…

A: Topic- Trigonometric ratios We know that tan(θ)=opposite adjacentcot(θ)=1tan(θ)

Q: Prove or disprove the statement. If a, b, and y are angles in the same triangle, then prove or…

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Q: If cos x = sin 2x cos 2x tan 2x 4 csc x < 0, then ;

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Q: Multiple the complex number with its complex conjugate  -4i

A: see below the answer and calculation

Q: Question 3 Using the t-method, solve the equation sin 0+2 cos=-2 for 0° ≤0 ≤360°.

A: By using the t‐method, to solve the equation sin θ+2 cos θ=-2 for 0°≤θ≤360°.

Q: The triangle below has sides with lengths a = 42, b = 62, and c = 79. Find the measure of the…

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Q: What is the length of side KL rounded to the nearest tenth of a cm?

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Q: Name Corresponding angles ard sides, then name the congruent triangles properly.

A: Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in…

Q: Use the vectors u = (4, 4), v = (−5, 2),and w = (4, −1)   to find the indicated quantity. (u v) −…

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Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: = Let f(x) = function? max = min = - 2.6 sin(x) — 2.5 cos(x). What is the maximum and minimum value…

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Q: Suppose you are standing at a distance, d, of 200 feet from a statue of height h feet. h d 0 Express…

A: As we know that tanθ=HeightBase for an right angle triangle with one acute angle θ.

Q: For problems 7-8, rewrite the following complex expressions 2 7.)-4-2i i 8.) 2+6i

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Q: Question 8 Simplify sin A cos A tan A + 2 sin A cos³ A sin 2A

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Q: 24 ? 14

A: To determine the measure of the missing angle.

Q: Shown below is the graph of the function r(0) = 2 + 4cose in rectangular coordinates r (0.6) 12 706…

A: Given: rθ=2+4cosθ The graph in rectangular coordinate is shown as:

Q: The arrow at the maze entrance indicates that the robot will be heading east when it enters the…

A: Given :- The arrow at the maze entrance indicates that the robot will be heading east when it enters…

Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

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Q: A population increases according to P(t) = 230(1.03)t where t is the time in years since 2000. (a)…

A: Given:- A population increase by model Pt=2301.03t

Q: (b) Solve sec²x+2 tanx-6=0 for x where places. ≤x≤ 360°

A: Topic = Trigonometry

Q: Give the smallest two solutions of cos(5θ) = -0.6979 on [ 0,2π). Separate the two solutions with a…

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Q: 7. a) Sketch two cycles of a periodic function f(x), starting at x = 0, with an amplitude of 4, a…

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Q: Express the following vector in Cartesian coordinates: A = p(z² + 1)a, - pz cos o a

A: Given Equation:- A=ρz2+1ap-ρzcosϕaϕ