Solve the  problem (using solution by sine law/cosine law): A pilot wishes to fly an airplane due East, but a strong wind blowing Southeast at 100 km/h keeps blowing the airplane off-course. If the airplane has a cruising speed of 450km/h, in what direction should the pilot fly to reach the destination?

Q: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

A: The top of a 15-foot ladder rests against a vertical wall with the bottom of the ladder on level…

Q: 2 1) F(u) = sin 2au (sintu+cosu)

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Q: Question in image.

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Q: What is the amplitude of the graph of the equation y = 2 sin ,r? %3D 2. 1/2

A: The amplitude of the function y=f(x) is the distance between the center line and the top of the…

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Q: Which of the following equations best models this situation? A bicycle tire with a radius of 40 cm…

A: The radius of the bicycle tire = 40 cm and tire rotate once every 2 seconds.

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Q: Use the triangle below to find sin 0. V5

A: First of all we will use Pythagoras theorem to find the third side of the triangle. Then you will…

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A: Topic- function

Q: Solve the equation cos (20) = sin(0), for 0 € [0, 27]

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Q: In the triangle shown above, if increases at a constant rate of 3 radians per minute, at what rate…

A: Pythagoras formula a2+b2=c2a and b are the legs and c is the hypotenuse. tan θ=oppositeadjacent

Q: In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what rate…

A: Pythagoras formulaa2+b2=c2a and b are the legs and c is the…

Q: Find the equation of a sine wave in the form y = a sin(bx + c) +d that is obtained by Vertically…

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Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0<θ<π2

Q: 4. Determine two equations, one in terms of sine and the other in terms of cosine for the following.

A: To determine the two equations, we just have to evaluate one of them andthe other can simply be…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: What is the formula for sin 2A?

A: Consider the provided expression, sin2A Write the formula of the expression, We can write as,…

Q: Use the appropriate sine ratio to solve for x, show your work, and round answers to 3 decimal places

A: Topic-trigonometry

Q: so cosA/sinA is my answer?

A: Let's simply given expression.

Q: The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d =…

A: Follow the procedure given below.

Q: Q3 Find the angles within the range -180<0<180 which satisfy the equation sin 30 = -2 cos 30.

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Q: cos 0 +1 = 2 sine [0°,360°]

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Q: Solve the trig equation, and give only the solutions that lie in the interval [0,27). tan4 B sin p-9…

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Q: TT 0 < 0 < 2 sin 20 5'

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Q: sin(nz) + sin(2nz) + sin(3nz) = 0.

A: Given: sinnx+sin2nx+sin3nx=0 we know that sinC+sinD=2sinC+D2cosC-D2…

Q: When instructed to write the equation of a sine function with a vertical stretch of 2 and a…

A: We have to transform sine function and write it's new equation.

Q: What are the zeroes of the equation r = sin ( θ ) + 8 ?

A: given    r = sin(θ ) + 8

Q: The amplitude of y = 3 sin 1/2 x is ______ and the period is _________

A: We have to find amplitude and period of the function: y=3 sin12x We know that if we have function…

Q: Solve the following problems (using solution by sine law/cosine law): 2. A pilot wishes to fly an…

A: Given: Pilot want to fly an airplane due East, but a string wind blowing southeast at 100 km/h…

Q: Find all solutions to the equation. sec 0-1 0 Writo YOur anow or in

A: We have to solve the given equation,               Sec(theta) — 1= 0 The general solution for theta.

Q: Find all solutions to the equation sec? r+ tan r = 1.

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Q: Solve for x in the right triangle shown in Figure 1.

A: Given : The sides of the triangle are x and 4. The hypotenuse is x+2

Q: =) Solve the problem. 9) Suppose the tip of the minute hand of a clock is 8 inches from the center…

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Q: Find the root of ( fata Sin(os(e!)

A: To find the root of the equation, we need to put our equation equal to 0. Put F(x)=0

Q: Find all solutions in radians using exact values only. 2. COS ²(2x} = 1 +.

A: Square root both sides , then solve both sides by 2x.

Q: 11T y = 7 sin 6. 11T + 6 || -

A: We have you find the given term

Q: Solve the equation for 0 <0< 360°. Show your work. sin(30 + 45) = ; %3D

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Q: The imaginary part of sin j is _____.

A: Introduction: The complex numbers are represented thru a Cartesian plane known as the complex plane,…

Q: Find two values of θ, 0 ≤θ &lt;2π, that satisfy the equation cos θ = -(1/2).

A: Solution:-  The given trigonometry equation is cosθ=-12, 0≤θ≤2π

Q: Write one or two complete sentences explaining the error(s) in the solution to this problem V3 = 210…

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Q: A loop on a roller coaster has its highest point at 42 m and it's lowest point at 18 m. If the…

A: given maximum height (heighest)=42 m minimum height =18 m  amplitude of sine or cosine function =?

Q: If you know the sine value for a given angle, how can you quickly find the cosecant value for that…

A: See attached file for a detailed explanation and I also give an example so you can easily…

Q: Solve the equation sin(2t) =-0.99 for t, where <t<2n. Enter your two values of t in radians, correct…

A: We have sin2t=-0.99  , π≤t≤2π Now, we have a property that sinx=sinπ-x Therefore,  sin2t=sinπ-2t…

Q: Solve the following equation shown.

A: sin2u=15,  0≤u≤π2

Q: When throwing an object, the distance achieved depends on its initial velocity, v0, and the angle…

A: d=v02sinθcosθ16 Put v0=90 &amp; d=170, we get 170=902sinθcosθ16⇒sinθcosθ=0.3358⇒sin2θ2=0.3358…

Q: Given the graph of a sine function. What is its amplitude?

A: here we have to find the amplitude of a sine function graph.

Q: Find the equation of a sine wave in the form y = a sin(bx + c) + d that is obtained by vertically…

A:

Q: Find all solutions to the equation V3 tan(30) + 1 = 0

A: Follow the steps.

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: The steps are as follows