### Trigonometric functions

Find value without calculator sin (arccos1/4)

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Find value without calculator sin (arccos1/4)

Show two ways of evaluating the following expression, without using a calculator. sin 2(pi/3)

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

Verify that each trigonometric equation is an identity cos0/ sin0 cot0 = 1

Prove Pythagoras' theorem.

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

Can the group A5 be a subgroup of the rotation group in a three dimentional crystallographic group?

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.

Prove: sin(2arcsin(x))=2x*sqrt(1-x^2)

(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

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

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

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

Solve for x: a) sin(^2)x=cosx-1 b) sin2x=cosx c) sin2x=2sinx

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?

How do you understand further trigonometry and four-point method?

A derivation of the value of Pi is shown (you need to know the Law of Cosines from trigonometry).

Given tanx = 2 and the quadrant is 1. Identify sin2x, cos2x, and tan2x using the double-angle and half-angle formulas.

I need better clarification of the Angles in standard positions for Math 10 Pure.

For zero degrees < x < ninety degrees, how many solutions are there for the equation 2sin x = cos x

Without using a calculator, find cot[arcsin(-5/13)].

Verify the identity sin(x + 3pie/2) + cosx =0

I need to know the trigonometric functions and trigonometric identities.

Prove this identity. (cot^2 X) - (cos^2 X) = (cot^2 X)(cos^2 X)

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.)

Inverse cos of (square root of 2/2)

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

1)If sin(t) = -5/13 and 270 degrees is less than or equal to t and is less than or equal to 360 degrees, then cos(t)=? 2)If 0 degrees is less than t and less than 90 degrees and cos(t) = 4/5, then cos(2t)=? 3)A right triangle is shown, sec(t) =? . | 1 = hypotenuse . | x = y

Prove 1-sinx/1+sinx=sec^2x-2secxtanx + tan^x