Solve the following equation exactly in the interval [0,2pi) .  2sinxcosx+cosx+2sinx

Q: Find the area of the triangle if a = a Area b Y in² B 11 inches, c = 9 inches, and B = 40°. Round to…

A: Here we have to find the area of the triangle.

Q: 24 ? 14

A: To determine the measure of the missing angle.

Q: Find the exact simplified solution to the equation below so that 0 ≤ t ≤n. 1 + tan(t) = 0 sin(t) t =

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Q: need to do a punnet square for this problem  2x^2-6x-12

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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: Find all solutions of the equation sin2x = 2sinx + 3.  The answer is A+Bkπ where k is any integer…

A: Given query is to find the solution of the expression.

Q: 6. tan 165° = Sin

A: Topic = Trigonometry

Q: 1. Determine the following 3 side lengths: DO, AB, OC. Use the Primary Ratios, the Sine Law, and the…

A: 1. in triangle OCD in triangle OAB

Q: Use a sketch to find the exact value: sec (sin-¹ (-)) O2√3 2√3 0-/21 O 080- 3

A: Given query is to find the exact solution.

Q: 2cos 2theta + 1 = 0 a. Find all solutions of the equation b. Find the solutions in the interval [0,…

A: 2cos 2theta + 1 = 0 a. Find all solutions of the equation b. Find the solutions in the interval [0,…

Q: Problem 4: Find sin(2x), given cos x = , and sin x > 0. Do not use a calculator.

A: We have to find value of sin(2x).

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: Solve 6sin2(t)+sin(t)−1=0 for all solutions 0≤t<2π t=

A: Let's find value of t.

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 6 r=…

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Q: Determine the range of the following function: f(0) = -10.1sine O [-1,1] O [-10.1, 10.1] O [-00,00]…

A: Question: Determine the range of the following function f(ϴ) = -10. 1 sin(ϴ)

Q: Use the figure to answer the questions below 5 0 a Given that the circle has a radius of 5, express…

A: We have to find the value of a in terms of θ.

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

A: Using trigonometric ratios for finding the volume

Q: Translate a triangle with coordinates A(2, 2), B(6, 2) and C(4, 4) with translation vector [4 7]…

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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: Solve 7cos(5x)=5 for the smallest three positive solutions.

A: We have to determine the three positive solution

Q: f(x) = x42x³ +7 y approaches negative infinity as x approaches infinity y approaches negative…

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Q: Find the reference angle for each value of 0. -29π (a) If 0 = the reference angle is 4 (b) If 0 =…

A: Given query is to find references angles.

Q: (*28 *0] °SPRIPE = J do not Catalunioo pucalend Spie :(ks 0.] Lovrsini ant 6 Prove, stating…

A: Given query is to simplify the expression.

Q: In right ∆QRS, Angles Q and R are the acute angles. If sin Q = √105/11, sin R

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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: Solve the following exponential equation: 5* = 20 .093 3.4 1.07 1.86 1

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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: 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: 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: I. Identify whether each graph is symmetric with respect to the x- axis, the y-axis, the origin or…

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

A: (b).The trigonometric equation is:sin(2x)+cos(2x)=sin2x+1            for   0≤x≤2π

Q: Evaluate the expression below without using a calculator. sin(2 cos^−1 sqrt37/37)

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

Q: The statement sin(sin-¹(x)) = x is true for which value(s) of x?

A: Given statement:- sinsin-1x=x

Q: Simplify sin(π/3) ⋅ cos(π/6) ⋅ tan(π/4)

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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: 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: Solve the following 1- Use the dot product to find the magnitude of u. u = (6, −3)   2-Find the…

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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: Solve csc(3x)−6=0 or the four smallest positive solutions x=

A: Solve csc(3x)−6=0 or the four smallest positive solutions

Q: An air freshener starts with 44 grams and evaporates. In each of the following cases, write a…

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

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Q: Find the area of the triangle if a = Area b in² a B 14 inches, b 13 inches, and y = 85°. Round to…

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Q: Problem 74: sec x = -1 Solve the equation x on the interval [0, 2)

A: Topic - Trigonometric Equations We are given  sec x =-1

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: formula to find the exact value: √2+√A 2 then Use the product-to-sum If 2sin 52.5° sin 97.5° = A =

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Q: 24. Determine the exact value of x in the figure below. (a) x = cot (37.4°) 15.6 tan (37.4°) 15.6…

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

A: We have given to find cos-13.1 cos-1x have domain -1,1 As, 3.1&gt;1 cos-13.1 : Impossible

Q: Using clear notation to define each inverse trigonometric function, and clearly presenting any…

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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)