Using a double-angle or half-angle formula to simplify the given expressions. (a) If cos² (38°) - sin² (38° ) = cos(A° ) then degrees (b) If cos² (4x) - sin² (4x) - sin²(4x) = cos(Bº) then A B = =

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 2 = 8…

A: Given r2 = 8tanθas we know that conversion between polar and rectangular coordinates x = r cosθ…

Q: Find one solution for the equation. Assume that all angles involved are acute angle sin (30-85°)=…

A: formula used   sin(90-θ)=cos(θ)

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

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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: 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: Write the complex conjugate of the complex number. −3 −√3i   Multiply the number by its complex…

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Q: If sin A = 4/5, where A is in Quadrant II, and sin B = 7/25, where B is in Quadrant I, find cos (A +…

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

A: Let's find interior angles.

Q: 27. A swimming pool is three feet deep in the shallow end. The bottom of the pool has a steady…

A: Topic = Trigonometry The deep end is the 13.63 ft deep.

Q: Find all of the solutions of the equation 6cos²x-cosx-1=0 on the interval [0, 360°]. Approximate…

A: To find all the solutions of the equation 6 cos2 x-cos x-1=0 on the interval 0, 360°.

Q: A river flows due south at 2 mi/h. A swimmer attempting to cross the river heads due east swimming…

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Q: Verify that the trigonometric equation is an identity.   sec^4 x−sec^2 x=tan^4 x+tan^2 x

A: Verify that the trigonometric equation is an identity.

Q: Vector component of V and W are as follows. Find the direction of the resultant vector. V= (13.5,…

A: Given query is to find the direction of the resultant vector.

Q: 1-Find the projection of u onto v. u = (3, 3) v = (8, 1) projvu = Write u as the…

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Q: Princess Fiona is in a tower 403 feet tall. Shrek is standing 18 feet away from the base of the…

A: Let θ be the angle of depression as shown in figure below.

Q: Find the amplitude, period, and phase shift of the following equations. 1) y sin 3 (2+ π) Amplitude:…

A: y=AsinBx-C+D or AcosBx-C+D⇒A=Amplitude ⇒C=phase shift ⇒D=Vertical shift ⇒Time period T=2πB

Q: Find the exact value Sin(tan^-1 12/5) Tan(cos^-1 5/13)

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Q: The x-value of a the first peak of a cyclical graph is 45, while the x-value of the second peak is…

A: Please see the below picture for detailed solution.

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

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Q: (b) Solve tan x+3 cotx = 4 for 0° ≤ x ≤360°, correct to 2 decimal places.

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

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Q: Find parametric equations for the curve with the given properties. The line passing through (5, 7)…

A: We have to find the parametric equation of the following curve passing through the two given points.

Q: 1 3. If sin x = and is in quadrant I, use the double-angle identities to find sin (2x), cos (2x),…

A: Given query is to find the value of tan(2x)

Q: 28. Express the volume of the cone as a function of 0. h

A: Using trigonometric ratios for finding the volume

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

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Q: Find all solutions of the equation √3+5 cos8=3 cose. Express the answer in radian measure.

A: given    3+5cosθ=3cosθ

Q: The terminal side of angle intersects the unit circle in the first quadrant at Cos 0? Select the…

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Q: What is cos z

A: From the given figure XZ=45 and YZ=36  Using Pythagoras Theorem          cos z=adjacent…

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) *-(-√²-√2) 8…

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Q: b= C= A = (Round to the nearest hundredth as needed.) (Round to the nearest hundredth as needed.)…

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Q: Solve the following triangle.   B=50°,C=70°,b=2   A= a= c=

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Q: Solve 8cos(3x)=4 for the smallest three positive solutions. Give your answers accurate to at least…

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Q: What is the horizontal asymptote of the following rational function? x²-8 2x3-10 y= y = 1/2 There is…

A: Let n be the degree of the numerator and m be the degree of the denominator .If n&lt;m then the…

Q: Use the figure to answer the questions below d √3 Use the information in the image above to answer…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: If y = 93°, b = 18.35, c = 27.3, find all unknown side lengths and angle measures. Round to the…

A: From the given figure, γ=93°, b=18.35, c=27.3   As we know from the Sine rule: asinα=bsinβ=csinγ

Q: Evaluate the following using exact radian measure. Show all of your work. sin-¹(-√3) operelin button…

A: sinπ3=32 sin-x=-sin(x)

Q: Describe the end-behavior of the left side of the function: f(x) = -x³ - 2x + 4 O y approaches…

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Q: ㅠ If sin x 2 the number A = A cos x, then

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Q: - Write the polynomial as a product of linear factors. f(x) = x2 − x + 72 f(x) =    Find all the…

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Q: Find the measure of the reference angle for each measure of 0. (3 points each) 28) 0 = 165° 29) 0 =…

A: CONCEPT When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle…

Q: (r, 0) = 2 Need Help? -R π/2 Read It Give two other polar coordinate representations of the point,…

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Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the​…

A: Given: Height of Building, B = 360ft Length of shadow, S = 60 ft

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

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Q: Use special right triangles to find the sine of 45º.

A: We are required to find the value of sin 45° using special right triangle.

Q: Use the rules for working with measurements to give your answer to the appropriate accuracy and/or…

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Q: Find the domain of y = cos ¹(2x).

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Q: Which ratio is the greatest? 17 3 25 5 | 23 12 3

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Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

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