(a) Express cosx-2sinx in the form Acos(x+a). (b) Hence, or otherwise, solve the equation cosx-2 sinx=1 for 0° ≤x≤360°, giving your answer to the nearest degree.

Q: 24 ? 14

A: To determine the measure of the missing angle.

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

A: Given: Now,              22+22i12=12+12i12=cosπ4+isinπ412By De Moivres Theorem:=cosπ48+isinπ48

Q: 108. (2 109. (-1 + i)6 15

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Q: What is the horizontal asymptote of the following rational function? 6x² + 2 y = 2x² - 7 O y = 1 O y…

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Q: 18. Solve 1 - sin² x - 2 cos x cos² x cos x - 2 algebraically -1/3 over the domain -π ≤ x ≤ π. -

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: 1. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1 1 1 secx - 1 secx + 1 2. 2 cotx csc x + 3. sin²xcos5x = cos…

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Q: K Find the exact value of each of the following under the give 8√89 T 89 2 (c) sin (α-B) 7 sin α =…

A: Please see the below picture for detailed solution.

Q: Find the length of the braces (in inches) needed for the rectangular supports shown in the figure.…

A: Given query is to find the length of the braces.

Q: Find the solutions in the interval [0, π]. (Enter your answers as a comma-separated list.) sec(3x) -…

A: I am attaching image so that you understand each and every step.

Q: 1) Even / Odd Trig/(x)s a) cos 8 & sec 0 are even functions so f(-8)=f(0), example: cos (-/3)=…

A: Calculate the following  a) cot(-π3)b) sin(-11π4)c) tan(5π3)

Q: Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label…

A: The given function is y=2cos3x+π2

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

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Q: K √2 √2 7 2 2 The variable t is a real number and P = values of the six trigonometric functions of…

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Q: tan (x-7)+ +1=0 2

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Q: Problem 2: Use an identity to find cos(A + B) if sin A = AE Q2, and sinB = -1,BE Q4. Do not use a…

A: By using an identity to find cosA+B if sin A=23, A∈Q2, and sin B=-13,B∈Q4.

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: the following expressions without using the foil method  (6i-9)(2i-3)

A: simplify the following expression (6i-9)(2i-3)   we know that, (a-b)2=a2+b2-2ab and  i2=-1

Q: - [3(cos 63. бл 7 бл - ] ( 7 + i sin cos 9л 14 + i sin 9л 14,

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) = ₁ 0 in Quadrant II

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Q: Consider a boat heading due east at 15 miles/hour. The water's current is moving at 7.1 miles/hour…

A: We have to find the velocity and actual direction of the boat.

Q: J 61² 8cm L K

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Q: Find the rectangular coordinates for the point whose polar coordinates are given. (5, 5) (x, y) = (

A: Topic - Polar to rectangular coordinate conversion We are given r=5θ=5πWe know…

Q: 9csc²x - 23 = −cscx +3cot²x - 6 sinx

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Q: For a given day in the year, the temperature in Tucson at 6:00 AM is 78 degrees Fahrenheit. By 6:00…

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Q: A 150-ft tower is anchored on a hill by two guy wires. The angle of elevation of the hill is 8°.…

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Q: ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from…

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Q: Simplify the trigonometric expression. sin x CSC X cos X sec x +

A: The given trigonometric expression, cosxsecx+sinxcscx We have to simplify this expression.

Q: A square has a side length of (4x + 8) inches. Which expressions represent the area, in square…

A: Area of a square = (Side length of the square)2

Q: mplify the trigonometric expression. 2 + tan²(x)_ sec²(x) - 1

A: Given query is to simplify the expression.

Q: In your own words, explain how cosine and secant are related.

A: We have to write the relation between cosine and secant.

Q: Name the quadrant in which the angle 0 lies. cos 8>0, tan 8>0 Choose the correct answer below. 0000…

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Q: Solve the given equation. (Enter your answers as a cor 2 cos² (0) - 11 cos(0) + 5 = 0 0= =

A: Topic = Trigonometry Interval for the solution is not given in the question.

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin² (0) (1 +…

A: The given term is; sin2(theta)(1+cot2(theta)).

Q: Figure B variable (deg) Value a (m) 67.4 4 a B

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Q: Name the quadrant in which the angle 0 lies. cos 0 <0, tan 0 <0 Choose the correct answer below. OA.…

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Q: Solve cos(x)=0.15 on 0≤x<2π There are two solutions, A and B, with A < B A= B=

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Q: Name the ordered pair of one of the zeros for the following function f(x) = x² + 8x - 9

A: To find the zeroes of given function

Q: Find the perimeter (in m) and the area (in m²) of the quadrilateral. ( perimeter area 8.01 m 18.5 m…

A: I am attaching image so that you understand each and every step.

Q: (b) Solve sin 2x+cos2x = sin² x+1 for 0≤x≤27.

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Q: Find the volume (in ft3) of the wagon box in the figure below. (Use the rules for working with…

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: Use vectors to find the interior angles of the triangle with the given vertices. (Round your answers…

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Q: 14. 6 points INSTRUCTIONS: At noon, ship A is 150mm due-west of ship B. Ship A is sailing east at…

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Q: Use a calculator to find the approximate value of the following expression it possible. Expre…

A: Topic- inverse trigonometric values We are given, sin-1(2.12) We know that domain of sin-1(x) is…

Q: Give the smallest two solutions of cos(5θ) = -0.7773 on [ 0,2π ).

A: The objective is to give the smallest two solutions of cos(5θ) = -0.7773 on [ 0,2π ).

Q: A triangle has sides measuring 12cm, 16 cm and 24 cm. What is the measure of the smallest angle of…

A: Solution: Let a = 12 cm,  b= 16 cm,  c = 24 So, the smallest angle would be the opposite of the…

Q: Graph the following function:  y=tan(3x)

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Q: K Find the exact value of each of the following under the given conditio √3 2 tan α = 3 T 11 (a) sin…

A: The solution is given below

Q: x = sec(t), y = tan(t), 0 st </ (a) Sketch the curve represented by the parametric equations. Use…

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Q: In Canada's Wonderland there is a roller coaster that is a continuous series of identical hills that…

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