Trigonometric Identities : Evaluation without Calculator
Show two ways of evaluating the following expression, without using a calculator. sin 2(pi/3)
Trigonometry
BrainMass Solutions Available for Instant Download
Find amplitude, period, vertical translation, any phase
Y = 2/3 sin(x+pi/2) Amplitude is this right 2/3 Period is this right 2pi Vertical translation this right pi2/(2/3)= 3pi upward Phase shift this right 2pi to the left
Find the amplitude, period, vertical translation
Find the amplitude, period, vertical translation, and phase shift of the following periodic function Y= 4-(3/4)sin(3*x-pi)
Trigonometric Identities Functions
Verify that each trigonometric equation is an identity cos0/ sin0 cot0 = 1
An elegant proof of pythagoras' theorem
Prove Pythagoras' theorem.
Trigonometric Points in terms of Radians : Transformations
In terms of radians and X, what would be the specifications of the anlges for trigonometric points which result from the following transformations of the trigonometric point P(X)? (Work these out on a diagram of the unit circle) 1) A reflection y = x followed by a rotation through pi 2) A reflection in y = -x 3) A refle
Crystallographic Group: Relationship to A5 Group
Can the group A5 be a subgroup of the rotation group in a three dimentional crystallographic group?
Trigonometric Identity
Verify the following identity: sec(x)-cos(x) = tan(x)sin(x)
Trigonometric Identity
Verify the following identity: (sin(x) + cos(x))^2 = 1 + sin(2x)
Trigonometry: Addition Theorems
Please see the attached file for the fully formatted problems. Deduce the addition theorems for trigonometric functions: cos (x ± y) = cosx cosy sinx siny; sin (x ± y) = sinx cosy ± cosx siny as the simplest consequence of the representation of a complex plane's rotational group.
Inverse trigonometric functions.
Prove: sin(2arcsin(x))=2x*sqrt(1-x^2)
Formula for a sine curve given the amplitude and either the period, frequency or angular frequency.
(i) In london in 2002, the maximum number of daylight hours in a day was 16.63, and this was recorded in week 25.The minimum number of daylight hours in a day was 7.82, and this was recorded in week 51. The number of daylight hours in a day can be modelled approximately by using a sine function. Use the information given abo
Pythagoras Theorem, Cosine and Sine Formulas
1) A herring gull was ringed at Llyn Trawsfynydd Gwynedd (grid reference SH 700360) and was retapped near Criccieth, Gwynedd ( grid reference SH 500380). The ringing report states the Distance as 20km and the Direction as 276 degrees. (a) Use the grid references and trigonometry to check that the map bearing of Criccieth from
Working with a sinusoidal function.
This question concerns the function y/3 = 3+ 4sin [3x+ pi ] Where x is measured in radians. (1) Choose the one option which gives the value of the function when x= pi/2 (2) Choose the one option which gives the period of the function. Options for questions 1 and 2. A 1 B. 2 C. 3 D. 4 E. pi/3
Writing a trigonometric function for a bouncing ball.
Write a trigonometric function for a ball dropped from a distance of 5ft from the floor. Let the x-axis represent the time after the ball was dropped and the y axis represent the height in feet. Address these issues: 1. Explain the process you used to find the function. Include all math steps. Why did you select this particular
Algebra: Pythagorean Triples
Please see the attached file for the fully formatted problems. These are questions about Pythagorean Triples.
Solving trigonometric identities.
Solve for x: a) sin(^2)x=cosx-1 b) sin2x=cosx c) sin2x=2sinx
Working with arcs and central angles.
What is the answer if PR is the diameter of circle S? If the measure of angle P is 25 then what is the measure of QR?
Further trigonometry and four point method
How do you understand further trigonometry and four-point method?
How does anybody know that Pi=3.1415926...?
A derivation of the value of Pi is shown (you need to know the Law of Cosines from trigonometry).
Double-angle and half-angle
Given tanx = 2 and the quadrant is 1. Identify sin2x, cos2x, and tan2x using the double-angle and half-angle formulas.
Trigonometry Angle Standards
I need better clarification of the Angles in standard positions for Math 10 Pure.
Working with trigonometric functions.
For zero degrees < x < ninety degrees, how many solutions are there for the equation 2sin x = cos x
Using trigonometric functions without the aid of a calculator.
Without using a calculator, find cot[arcsin(-5/13)].
Trig Identities Verified
Verify the identity sin(x + 3pie/2) + cosx =0
Trigonometric Functions and Trigonometric Identities
I need to know the trigonometric functions and trigonometric identities.
Proving trigonometry identities.
Prove this identity. (cot^2 X) - (cos^2 X) = (cot^2 X)(cos^2 X)
Trigonometry Vector Problem: Force Angles
Three forces acting at a point are in equilibrium. The forces are 930 lb, 760 lb, and 1220 lb. Find the angles between the directions of the forces. (Hint: Arrange the forces to form the sides of a triangle.)
Calculations regarding the inverse of cos.
Inverse cos of (square root of 2/2)
Angle of Depression - Trigonometry
The foot, F, of a hill and the base B, of a vertical tower TB, 27 metres tall, are on the same horizontal plane. From the top, T, of the tower, the angle of depression of F is 32.7 degrees. P is a point on the hill 27.5 metres away from F along the line of greatest slope. T, B, F and P all lie in the same vertical plane. The ang