Prove the following identities..."not an identity" is an option. Please explain in detail and in steps how to perform the following: 1. cot²x-cos²x=cos²xcot²x 3. tanx= square rt of sec²x-1 4. sinx/1-cotx + cosx/1-tanx=cosx+sinx 5. cotx-1/1-tanx = cscx/secx 6. cosxsiny=1/2(sin(x+y)-sin(x-y)
Find the exact value of the expression(Consider interval is [0,pi] I) 1) sin^-1 SQRT3 / 2 = pi/3 2) arctan(-1) = 3pi / 4 3) csc^-1 2 = pi/6 4) sec^-1 SQRT(2) = pi/4 II) We were given the example to derive sin^-1x as follows. y=sin^-1 (x) siny = x (cosy)(dy/dx) = 1 (dy/dx) = 1/cosy = 1 / (SQRT(1-sin^2 (y)) = 1
A. As a group, work together to submit the answers to the following problems. Use the Small Group Discussion Board to divide tasks, discuss strategies for solving problems, and check each other's work. The finished product should be one combined document for the entire group, showing all calculations and graphical representat
43. Express cos 3 in terms of cos x. ans. cos3x=4cos^3x-3cosx 47. 2 cos 2y sin 2 y ans. sin 4y 51. sin 16x = 2 sin 8 x cos 8x ans. sin 16x=sin (2(8x))= 2 sin 8x cos 8x 55.cos 4x=2cos2x-1 ans. not an identity
Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? Can you show me how you got the answer?
How is this problem solved? Please show all steps domain: 1 ≤ t ≤ e^π∕4 ∫ 4dt ∕ t(1 + ln²t)
What is the solution? Evaluate the integral: ∫ds∕ 9-4s² domain: 0 ≤s≤3√2∕4
How do you do the following problem? Please show/explain each step. tan (sec^-1 y/5)
How do you do the following type of problem? Please show each step. sec (tan^-1 2x)
Could someone help me with the problem and provide all the steps please. y'' + 4y' + 5y = 35e^(-4x) y(0)=-3, y'(0)=1
Cos(5x)cos(7x)cos(11x)=3 / (sqrt3) How is this problem done? I don't need an exact answer as much as I need the steps leading up to the answer. Calculators aren't permitted so maybe that'll help?
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.
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.
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?
Pythagorean Triples and Quadratic Coefficients : 'If a + b = 7, and a^2 + b^2 = 37, then what is the value of ab?'
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. ---
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.
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.
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.
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. ---
(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?
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