A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of the side adjacent to the 63 degree bearing). How far is the lobster boat from the light house? A recent land survey was conducted on a vacant lot
Find all solutions of the equation Sec^2-2=0 The answer is A+B(k)(pi) where k is any integer and 0<A<pi/2, A= B= I have one answer as pi/4 for A that is correct, but I cannot figure out how to get B. I was using +-sqrt2/2 to get the A answer.
See attached pdf file. The Trig identities you might need are 2cos^2 (x) - cos(2x) - 1=0 and 4cos^3(x) - 3cos(x)=0
S=4sin(t+^0) with a force acting upon it P=7sin(t-39) If E at time t is ps and E=-14cos(2t-60) How do you arrive at this.
What is the difference between a trigonometric equation that is an identity and a trigonometric equation that is not an identity? Provide an example to clarify.
1. Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches. The diameter of the wheels of the other car is 16 inches. If the tires are equally durable and differ only by diameter, which car will probably need new tires first? Why? 2.
Trigonometry Trigonometric Equations (XI) Solve the equation tan^2 theta + (sqrt3 - 1)tan theta - sqrt3 = 0.
Trigonometry Trigonometric Equations (IX) Solve the equation tan theta+ tan 2theta = tan 3theta.
Vibration X1=3 sin(2t+30) and vibration x2=2cos(2t-30) t is in seconds, show the method of solving the resultant time at which the amplitude reaches a value of 2. Show method of achieving this.
Trigonometry Trigonometric Equations (II) Solve the equation a cos theta + b sin theta + c = 0 [c is not greater than sqrt(a^2+b^2) ].
What is the process to determine a force acting upon a body as in a displacement represented by say p=?sin(t+?degree) with a force say n =?sin(t-?degrees) so that it evaluates to a given figure of energy of motion?
Find identities related to sin^2 x + cos^2 = 1.
What is the angle of elevation of the sun when a 35ft mast casts a 20 ft shadow?
1. If a + b = 7, and a2 + b2 = 37, then what is the value of ab? 2. Isn't there an easy way to find out Pythagorean Triplets? 3:4:5 6:8:10 5:12:13 8:15:17 7:24:25 Please provide an equation or easy way to get triplets- e.g. some kind of relation. See the attached file.
Simplify: tan (2 arc cos (x/3)) Solution shall not contain trig and inverse trig functions. Do not use calculator.
[sin(x)^4 - sin(x)^2]/[sec(x)]= I tried simplifying, but I get cos(x)^5 - cos(x)^3 and this isn't right.
1. Find the length L from point A to the top of the pole. SEE ATTACHMENT FOR MORE REQUIRED INFO 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so th
Set -pi/2 <= x <= pi x = arcsin[sin(5pi/3)] = _______pi x = arcsin[sin(7pi/4)] = _______pi x = arccos[cos(-5pi/6)] = ______pi x = arccos[cos(3pi/2)] = _______pi x = arccos[cos(3pi/4)] = ______pi x = arctan[cos(3pi/2)] = ______pi x = arcsin[sin(7pi/6)] = _____pi Write as a multiple of pi. pi = 3.14159.
Please see the attached file for the fully formatted problems. PART 1: 1. Simplify the expression tan( arccos(x/5)) Your final answer is not supposed to contain any tirgonometric or inverse trigonometric functions. 2. Evaluate the following expressions. Your answer must be an angle -pi/2 <= theta <= pi in radians, wri
Given a space curve C defined by r(t)=(3 sin t)I + (3 cos t)j + 4tk. Find v(t), a(t), T(t), K, N(t), B(t), aT and aN at t=pi/2. ---
You are interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group a
A) looking for the distance VP b) diameter of the pipe c) formula for d in terms of VP d) formula for VP in terms of d ----------------------------------------- 1) tire durability 2) tan(x+450 degrees0 cannot be simplified using tangent sum formula. why? 3) difference between trig equation that is an identity and trig equ
(See attached file for full problem description and diagrams) --- Need help with the following questions. A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high.
Suppose sin t = 6/7 and cos t < 0 How do I find cos t?
In the movie Close Encounters of Third Kind, there was a scene where the star, Richard Dreyfuss, was approaching Devil's Tower in Wyoming. He could have determined his distance from Devil's Tower by first stopping at point P, and taken a measurement of the angle from his location to the height of the tower of 13.5 degrees. He
What is the amplitude of the wave of the equation y=-4 sin 5x?
--- (See attached file for full problem description)
I am trying to find the grad function of the spherical polar coordinates shown on the attached file. I have completed the question to a certain extent but am not sure if it is correct. Could you please ensure its accuracy and complete by simplifying the solution (trig identities etc) as I am unable to do so? (See attached f
What is the difference between a trig equation that is an identity and a trig equation that is not an identity? Provide an example to clarify.
Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum formulas but can be simplified by using the sine and cosine formulas. (Please show all work).