Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form  a + bi.)   (1+i)^7

Q: sin² x - 2 sin x - 3 = 0

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

Q: x mi h (a) Express the height of the space shuttle as a function of the angle of elevation h = mi…

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Q: You are asked to model a real-life problem using a sine function in the form of f(x) = asinx+ c, and…

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Q: Refer to the right triangle in the figure. If, BC = 2 and the angle a = 70°, find any missing angles…

A: we will find the required.

Q: 8. secx = 2, z in Quadrant IV

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Q: sin 20; sin 0 1 in Quadrant II

A: Given query is to find indicated angle.

Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

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Q: Find the exact value of the expression. tan 15° + tan 45° 1- tan 15° tan 45°

A: see below the answer and calculation

Q: why it is always true that blog(x) X

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Q: If  cos ( θ ) = 7 8   and   θ   is in the 4th quadrant, find the exact value for   sin ( θ )

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Q: 3. Find the exact value of the given expression: cos 2 tan -1 12 5

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Q: (a) (cos 0 - sin 0)² Cos cosec sec8 = sec 0 - 2 sin 0

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

Q: A city's cable cars travel by clamping onto a steel cable that circulates in a channel beneath the…

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Q: Find all solutions tan^2(theta)-3=0 theta = ?

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Q: Find the exact value of each of the remaining trigonon sin 0: = 3 11 5' 180° <0<270°

A: Given query is to find the 5 trigonometric functions.

Q: The angle t is an acute angle and sin t  and cos t are given. Use identities to find tan ,cot ,sec…

A: Topic -Trigonometric Ratios we are given, The angle t is an acute angle and sin t  and cos t are…

Q: f(t)=9+2.5sin(4t) find amplitude

A: Given that we need to find the amplitude of the function  f(x) = 9 + 2.5 sin(4t)    Formula to find…

Q: Question 17 of v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and…

A: Given query is to find the Indicated vector.

Q: o measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an…

A: Given query is to find the value of h.

Q: To find the distance to the sun, we need to know the distance to the moon. Here is a way to estimate…

A: NOTE: Refresh your page if you can't see any equations. . A=B=r=3960 miles (radius of the earth)…

Q: If you multiply a number by six and then subtract negative ten, the difference is negative twenty.…

A: Let number is X Multiply by 6 is 6X

Q: (b) If t = tan = tan = 12¹ 2' prove 1+ sinx+cos x 1+ sinx-cos x = cot N|X

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Q: 90⁰ 8.125 90⁰ 90⁰

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Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: GIVEN 4x2 + 16   and x2 = cot(θ)so x = 2 cot(θ)

Q: Solve the trigonometric equation in the interval [0, 2x). Give the exact value, if possible;…

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Q: f(x)=√√25-x², g(x)=√x+3 Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using…

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Q: Determine the equation of the circle circumscribed and inscribed to the triangle whose vertices are…

A: Given the vertices are  A(3,5) , B(-4,-2) &amp; C(-11,3) General equation of the circle is given by,…

Q: Question 1 2 3 4 5 6 7 8 9 O (0,1) O (-1,0) O (0, -1) O (1,0) Determine the corresponding ordered…

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Q: hat, for any positive numbers "a" and "b", log, (a) = log10 (b)

A: Given query is to prove the expression.

Q: A A For f(x) = sinx, -≤x≤, g(x) = cos x, 0≤x≤, and h(x) = tanx, 2<x<2, find the exact value of the…

A: Given, f(x)=sin(x)    -π2≤x≤π2g(x)=cos(x)        0≤x≤π

Q: You have a polynomial in this form: x³+4x²+ cx + 4. (x-2) is a factor of this polynomial. Using your…

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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: Find the following values. Round answers to 3 decimal places as needed. sec(−13)≈ tan(−17)≈…

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Q: A clock is hung on a wall so that the center is 20 cm below the ceiling. The minute hand is 10 cm…

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Q: A clock with an hour hand that is 12 inches long is hanging on a wall. At noon, the vertical…

A: Let's find equation of function of distance and time.

Q: D. Sketch the following angle and its reference angle. Label your answer. 166⁰ 305⁰

A: Reference angle:- The reference angle is the smallest possible angle made by the terminal side of…

Q: Need

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Q: 5012 1.00 Find out the period Draw out he amp .Define the 2π1X T table -21 14./Grap 15. Deter given…

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Q: Problem 4: Consider cos 0 = and tan 0 <0. Use either x, y, r definitions, or fundamental identities…

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Q: For the diagram below, solve for the unknown angle. Show all steps. H 23 mm 0 17 mm

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Q: Use your knowledge of the Unit Circle to determine whether each of the following trigonometric…

A: We have to find if the given expressions are positive or negative using knowledge from unit circle.

Q: Evaluate sine, cosine, and tangent for the angle+¹ Use the reference angle 0' and write your answer…

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Q: You have a fraction with a numerator (the top) which has 5 positives and 3 negative numbers…

A: Please see the below picture for detailed solution.

Q: (c) Use t-formulae to find the exact value of 2 tan 11 12 ,2117 12 1-tan

A: To find the exact value of

Q: A student performed this calculation: (5x²5x² + 4x³) - (6x² - 2x³-8x¹4). The student concluded that…

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Q: 48. -1 12 cos 2 tan-1 210

A: Topic - trigonometric identities We are given: cos2tan-1125Formulas requiredcos(2θ)=1-tan2θ1+tan2θ

Q: H 22 mm 15 mm 0

A: Given query is to find the angle theta.

Q: You are standing on an elevated observation platform 270 feet away from a tree on which you spot a…

A: NOTE: Refresh your page if you can't see any equations . from the given data make a figure

Q: Determine two exact values of (in radians) in the interval (0, 2), such that sin 0 sec 0 = √2 cot 0…

A: NOTE: Refresh your page if you can't see any equations. the sine function is negative in the third…

Q: (b) cosec 0 sec 0 cot A = 1+tan²0

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