Use Quotient and Reciprocal Identities to Evaluate the Expression: Find cosx if cotx=-7 and cscx=-5√2.

Q: Find the area of the triangle with vertices: Q(4,1,-5), R(6,0,-4), S(4,3,-5).

A: The vertices of the triangle are .

Q: a) Use the inverse sine to find a solution to the following equation. This solution will be a…

A: Given: To Find: (a) To find a solution to the above equation that is a negative angle in the 4th…

Q: Σ (1) sin( nul 150

A: 0\\ &2.\ b_{n+1} \leq b_n,\text{ for all n}\\ &3.\ \lim _{n \rightarrow \infty} b_n=0\\…

Q: An airplane is 144 miles north and 92 miles east of an airport. The pilot wants to fly directly to…

A: The objective of this question is to find the bearing that the pilot should take to fly directly to…

Q: If =3π/ 4, find the exact value of each expression below. Cos2θ Cos(-0)=

A: cos243π​=21​ cos(−0°)=1  Explanation:Given that, θ=43π​ So, cos2θ=(cosθ)2 =(cos43π​)2 =(2​1​)2 =21​…

Q: 3. Use Pythagorean Identities to Evaluate the Expression: . If tanA=4 and secA<0, find sin A. Type a…

A:

Q: Which equation can we use to find the length of the side labeled x?

A:

Q: 12. Susan boards a Ferris wheel at a height of 1.5 m off the ground. The Ferris wheel has a radius…

A: To find Susan's height above the ground as a function of time, , we can use the cosine function, as…

Q: Find the Amplitude and Midline y=5-2 sin t/5

A: The objective of this question is to find the amplitude and midline of the given trigonometric…

Q: You're locked out of your house and the only open window is on the second floor, 29 feet above the…

A: The objective of this question is to find the length of the ladder needed to reach the window on the…

Q: Convert  14°37′9″  to a decimal number of degrees. Do not round any intermediate computations.…

A:

Q: Find a value of 0 in the interval [0°,90°] that satisfies the given statement. sin 0 = 0.89548894 0°…

A: Given the question,  in the interval here need to find the value of ,in the given interval, the…

Q: Suppose that  x, -√2/2 is a point in Quadrant IV lying on the unit circle. Find x.  Write the…

A: The objective of the question is to find the x-coordinate of a point on the unit circle in the…

Q: PROOF =- - bc (1 – cos A) = - Use the Law of Cosines to prove that a-b+c a+b-c 2 2

A: By using the Law of Cosines to prove that,

Q: When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity.…

A:

Q: Problem 1: The sides and angles of a right-triangle are labeled in the drawing. While it is…

A:

Q: 5. Use a graphing utility to graph y₁ and y2 in the interval [-27, 2π]. Use the graphs to find real…

A: In given range [-2π,2π] Find sinx =-1/2;

Q: Find the range of the function f(t)=3sin t-π

A: The objective of this question is to find the range of the function f(t) = 3sin(t) - π. The range of…

Q: Use an appropriate compound angle formula to determine the exact value of tan + 2₁ 3 -√√3-1 1+√3…

A:

Q: If sin(-8)= -0.97, find cos(-6).

A: Given data regarding the question is as follows

Q: The area of a sector of a circle with a central angle of  5π4  radians is  14 mm2 . Find the…

A:

Q: n=1 Find the common ratio. r= Determine whether the geometric series is convergent or divergent. If…

A:

Q: solve for θ, θ ∈ [0,2π] 2csc^2θ - 5cscθ +1 = -1

A: Consider the equation

Q: Find all values of 0 if 0 is in the interval [0°,360°) and has the given function value. sin 0≈…

A: sin⁡θ≈0.5670247θ in the interval [0∘,360∘)

Q: Let theta be an angle in first quadrant with cos=a. Evaluate the following in terms of a.  Cos…

A: The objective of the question is to find the value of Cos (theta + 360°) in terms of 'a' when cos…

Q: Find the six trigonometric function values of a. 9 α

A:

Q: d the measures of the angles x, y, and 8. If ß = 45 and all angles are on the interval [0, 2л). Give…

A:

Q: 5. Find the work (in J) done by a force F = 87 − 43+ 7k that moves an object from the point (0, 8,…

A: To find the work (in J) done by a force  that moves an object from the point  to the point  along a…

Q: The bearing from City A to City B is N 49° E. The bearing from City B to City C is S 41° E. An…

A: Given:Bearing of city A to city B = Bearing of city B to city C= speed of automobile = 55 mphTo…

Q: Simplify. tan(-x) cos(-x)

A: Given in this questionusing the formulas

Q: 6 后 X-T dx

A:

Q: Use inverse trigonometric functions to find one solution of the given equation. sin (x) = -0.59 π […

A:

Q: Find the reference angle for -105°. 0. 몸 T

A: to find the reference angle of a negative angle we add  to it untill it is positive and lies between…

Q: 2. Which statement is true? O csc 225º = sec 225° O csc 135º = sec 225° csc 180°- = sec 225° O CSC…

A:

Q: The double-angle identities are used when we want to simplify a trig expression. Similarly, you can…

A:

Q: Let θ be an angle such that =cosθ 15/17 and tan θ &lt;0 .Find the exact values of cotθ and cscθ…

A: The objective of the question is to find the exact values of cotθ, cscθ, cot θ and sin θ given…

Q: Find a value of 0 in the interval [0°,90°] that satisfies the given statement. sin 0 = 0.82228356

A: sin⁡θ=0.82228356θ in the interval [0∘,90∘]

Q: 1. Using these identities, prove the following: 1. Choose an angle between 61° and 89°. 2. Prove the…

A: Note:As per our guidelines we are supposed to answer only one question If there are multiple…

Q: Exploration 2: Waves In this Exploration, you will share your ideas about two situations. Situation…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: D f(x) (x)ď { 9

A: The given graph

Q: Find the domain of the logarithmic function f(x) = log (7-3x)

A: the given logarithmic function  the log function is not define for the negative values hence…

Q: A fire tower in Alberta is 120 ft high. An observer in the tower spots a bear at an angle of…

A: We have to solve the given problem.

Q: An angle of elevation is always formed with O the horiztonal O the vertical the line y = x Οπ

A: An angle of elevation is always formed by

Q: Solve the rest

A: The figure is given as,

Q: Question A-iii: The angle between the vector field F at point P and the vector T = 3 ap + 2 ag -1 a…

A: Note:-Since part iv incomplete because part iv needs vector field F and point P, so we solve part…

Q: Solve the right triangle. A = a = C= (Round to four decimal places as needed.) cm (Round to three…

A:

Q: Find the magnitude of the vector  -5, - 5. Write in simplest radical form

A: The objective of this question is to find the magnitude of the vector (-5, -5). The magnitude of a…

Q: Bailey installs solar panels in Saskatoon. She adjusts the angle to match the season. In winter, the…

A:

Q: Yanek builds custom decks. The stairs for a customer have a riser of 180 mm and tread of 310 mm.…

A: It is given that the stairs have a riser of 180 mm and tread of 310 mm.We know, angle of elevation…

Q: The point (-0.45, 0.89) lies on the unit circle. Which is the following expressions could be used to…

A: The coordinates  (−0.45,0.89)are lying on a unit circle Here we have to find which option defines…