Solve −5sin2(x)−4cos(x)=−4 The smallest non-negative solution is:    The next smallest non-negative solution is:

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: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 (a) The solution…

A: fx is basically the value towards the y axis.So, we just have to check the values towards y axis.

Q: Please write a rational expression (in factored form please) that could produce this graph.  Please…

A: see below the answer and explanation

Q: A circular arc of length 12 feet subtends a central angle of 85 degrees. Find the radius of the…

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

Q: verify identity and justify the taken steps (cos x / 1-sin x) - tan x = sec x

A:

Q: Simplify the trigonometric expression. 6 + 3 cos(y) 3 + 6 sec(y)

A: Topic - simplification of trigonometric expression We are given, 6+3cos(y)3+6sec(y)we know…

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

A: Given query is to simplify the expression.

Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 32°. How tall…

A:

Q: Using the Law of Sines to solve the all possible triangles if ZA = 120°, a = 32, b = 14. If no…

A: Given: ∠A=120°, a=32, b=14.

Q: An electrician leans an extension ladder against the outside wall of a house so that it reaches an…

A: Topic - Trigonometric ratios We are given Height of electric box from ground =22 feetAngle that…

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: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

Q: COB 1+sin z 1-Biri COS

A: We will prove the given trigonometric identity.

Q: Simplify the trigonometric expression. cos³(x) + sin²(x) cos(x)

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

Q: Finding a Unit Vector In Exercises 47-56, find a unit vector in the direction of the given vector.…

A: Given:     v=-1,1 Let us denote by x^  a unit vector in the direction of a given non-null vector x→…

Q: Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know the…

A: The temparature can be modelled by D(t)=Asin(2π(t+B))+Cwhere A is the amplitude of the function, C…

Q: point(s) possible Find the radius of a circle which has a sector of area 21 square feet determined…

A:

Q: The electromotive force V of an alternating current circuit at time t can be describe by the…

A: Topic -Period of a function We are given V(t)=110sin(120πt)

Q: The following graph shows at least one complete cycle of the graph of an equation containing a…

A:

Q: sin 0 cos tan 0 csc 0 sec 0 cot 0 F1 6 F2 4 F3 3 000 000 F4 2 F5 S F6 F7

A: See the details solution in below

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: use trigonomic identities Simplify completely into an expression with sin(A) or cos(A) only:…

A:

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

A: We have to determine the three positive solution

Q: solve the triangle.  a= 27.25 c= 33.81 C= 13°55'

A:

Q: Solve csc(3x)−3=0 for the four smallest positive solutions x=

A:

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: Using the sum of difference formulas, find the exact value of sin(165°). Express your answer in the…

A:

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: X x Name: Find sin 2x, cos 2x, and tan 2x from the given information. sec x=2, x in QIV cos 2x cot…

A:

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

A: Given; Sqrt(x2-81)/x, x=9sec(theta)

Q: 7x Find the average rate of change of f from to 6 f(x) = tan x The average rate of change is…

A:

Q: Verify the identity. cot x = 1 + cos2x sin 2x

A:

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: a 12m 3 4 16m Find the length of sides ad, dc b - 5 2 10 side be = 22m where bd = 10m and de = 12m…

A: To find the length of sides ad, and dc.To find ∠11.

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

A:

Q: 1. The reference angle of 258° is D. 2. Which quadrant does lie? 17T 6 3. Give one coterminal angle…

A:

Q: A survey team is trying to estimate the height of a mountain above a level plain. From one point on…

A: The given data is: From one point on the plain, they observe that the angle of elevation to the top…

Q: I am not sure how to solve these equations 4 sec (2 x theta)-5=3 4 sin^2 (4 x theta)=1 2 sin^2 (2…

A: (1).   The given trigonometric equation is:4sec(2θ)-5=3

Q: 7.) 3x²-3x - 18=0 GCF:

A: NOTE: Refresh your page if you can't see any equations. . first, we need to factor out 3

Q: Graph each function for the giv 31. y = sin x, -5T ≤x≤-3T

A: Topic = Function

Q: Let cos A=7/25 with A in QIV, and sinB=-8/17 with B in QIII Find the exact value of cos(A/2)

A:

Q: ← An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1000 feet apart. As the…

A:

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: Find the exact value of t cot (sin-¹())

A:

Q: Solve the equation. Give a general formula for all the solutions. List six solutions. 2√3 ·2-23/³-2…

A: To solve the given trigonometric equation.

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

A:

Q: Finding the Angle Between Two Vectors In Exercises 23-30, find the angle between the vectors. 29.…

A: Topic - Angle between vectors We are given, 29.)u=cos(π3)i+sinπ3jv=cos(3π4)i+sin3π4j

Q: Consider √3 sin(0) + cos(0) = √2. What is the period of sine? Compare the equation with sin(+6) =…

A:

Q: Simplify the expressions below. (a) sin(arcsin()) -00 < x < 00 (b) For what values of x is your…

A: The given expression, sinarcsinx4 We have to find the required values.

Q: A balloon 40.3 m in radius is to be filled with helium. How many m³ of helium are needed to fill it?…

A: Given query is to find the volume of the helium needed.