Prove that, for any positive numbers "a" and "b", log(a) = b.log(a)

Q: Prove the identity.  sin4(x)divided by sin(x) = 12 cos(x) cos(2x

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Q: K Simplify the following expression. (13) (13) (Type an integer or a simplified fraction.) -1

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Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: 11. Determine the length of DB. E 2.5 cm D B* √13 cm. -3 cm A

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Q: hree graphs are given below. or each, choose its equation from the following. y = tanx y=2 secx y=2+…

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Q: Automobile Time (Hours) 1 23 45 5 Repair Costs Cost (Dollars) 85 145 205 265 325

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Q: For the diagram below, which formula would you use to solve for the unknown value? M 12 cm N cosine…

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Q: m² P = S 8 I 5 d

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Q: sin(theta) = -2/7 and (theta) is in quadrant III, evaluate the following. Leave results as exact…

A: Given query is to find indicated trigonometric functions.

Q: expression when sin u = and cos v = -. (Both u and y are in Quadrant II.) 43. sin(u + v)

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Q: 8. Calculate the measure of the indicated angle, to the nearest degree, in each triangle. a) In…

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

Q: Three graphs are given below. For each, choose its equation from the following. y = tanx y = cot(x +…

A: Please see the below picture for detailed solution.

Q: What is the value of cot 240°? O 1.73 O-1.73 O 0.58 O-0.58

A: Formula cot(270-θ)=tanθ

Q: Find all solutions to the equation. 2 cos2x+√2=0 Write your answer in radians in terms of , and use…

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Q: Find the principle solution of tan (4+ 6x) = -√3. x = If there is a distinct solution from the other…

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Q: Jacksonville, Florida is due south of Charleston, West Virginia. Find the distance between…

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Q: Find the area of the shaded region in the figure. (Round your answer 120° 7

A: Topic:- area of circle segment

Q: Solving a Trigonometric Equation In Exercises 37-48, find all solutions of the equation in the…

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Q: This is a 30-60-90 triangle. What is the measure of x? X 10 X = [?]√[ ] Enter

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Q: Triangle QRS has side lengths q = 5.1 and r = 9.8. Angle S has a measure of 39°. What is the length…

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Q: 5. Show that dy dx of arccosx = −1 √1-x²

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Q: Find the exact values of the six trigonometric functions of the given angle. Do not use a…

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Q: (a) (i) Given that tan 2x+tan x = 0, show that tan.x = 0 or tan²x = 3. (ii) Hence find all solutions…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round…

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Q: when I input 6 it's wrong so is there another step that is maybe missing

A: There are two separate things  The first one is the rate of change at the instance and the other one…

Q: The brightness of certain stars can fluctuate over time. Suppose that the brightness of one such…

A: The brightness of certain stars can fluctuate over time. Suppose that the brightness of one such…

Q: Question 6 sin²x + cos²x = Blank 1 Blank 1 Add your answer Question 7 tan²x = sec ²x Blank 1 - I…

A: We have to fill blnaks in the following trignometric identities.    1. Sin^2x + cos^2x=1

Q: (7) Use properties of the trigonometric functions to find the exact value of the expression. Do not…

A: We will find the required.

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Concept: Sine rule: sinAa=sinBb=sinCc Here A , B ,C are the angles and a , b , c are the sides of…

Q: Equation for x in the interval [0, 2P:) 5 sin(x) +4=0

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Q: Find all soluiton fo the equation in the interval [0, 2pi). cos0 (2sin 0-1) = 0 Write you answer…

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Q: Select ALL that apply of the Linear Functions from the equations below Hint: basically, which of…

A: Here we have to choose the correct option.

Q: nd the exact value of tan 15° by using a sum or difference formula. 2-√√√3 X 0/0 S

A: Given query is to find the exact value of tan15°.

Q: find the horizontal shift of the function: y = 1 + cos(4x+pi/2)

A: Topic- horizontal shift of a function We are given, function: y = 1 + cos(4x+pi/2) we know that f(x)…

Q: Find the exact value of the expressions cos(a + B), sin(a+ B) and tan(a + B) under the following…

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Q: 7.1 5.0 b

A: Given query is to find indicated angle.

Q: (3) If cos(0) = 1 and is in the third quadrant find sin(0) and tan(0). (Remember to use: sin²(x) +…

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Q: 59. (sint + cost)² sint cos t 2+ sectcsct

A: Given that  (sint+cost)2sintcost=2+sectcsct

Q: What is the length of a rectangular lot that has a perimeter of 630 m and a width of 25 m?

A: calculation  of length of rectangular are as follows

Q: sin(2a) sin(a) cos(2a) cos(a) = sec(a).

A: Given  sin2αsinα-cos2αcosα=secα

Q: Find the exact solution of the equation. 24 sin -1x = 4T The solution set is. (Simplify your answer,…

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Q: А. 17m 22m 42° B. 88° 35° 44mm с. 9.4em 51 6cm

A: Solution is given below:

Q: which one of the following is the same as sin(tan^-12/x) a. x/sqrt x^2+4 b. 2/sqrtx^2+4 c. sqrt…

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Q: the sum in the complex plane  (-7, 8) (-2, 3)

A: Given query is to add the complex numbers.

Q: The figure displays a unit circle and an angle of 1 radian. The tick marks on the circle are spaced…

A: Given  Sine is -0.65 Let us say angle in degree is x Sin x = -0.65

Q: Find the measure of x. 78°

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Q: Use the following information to answer the next question. √2 Point A) and Point B(-2) lie on the…

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Q: (3) Find the original function f(x) given f'(x) = 10 cos(5x)-2 sin(4x) and f(π) = 1.

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: If cot A = -24/7 and A is in the 2nd quadrant, find sin 2A A.336/625 B.-336/625 C.363/625 D.…

A: Given; If cot A = -24/7 and A is in the 2nd quadrant.