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Show that the equation 2sin^2(x) + 3sin(x) = 2cos(2x) + 3 can be written as 6sin^2(x)+3sin(x) - 5 = 0. Hence solve for 0 < x < 360 degrees. Giving your answers to 1.d.p.

2sin^2(x) + 3sin(x) = 2cos(2x) + 32sin^2(x) + 3sin(x) = 2(cos^2(x) - sin^2(x) ) + 32sin^2(x) + 3sin(x) = 2(1- 2sin^2(x) ) + 32sin^2(x) + 3sin(x) = 2 - 4sin^2(x) + 36sin^2(x) + 3sin(x) - 5 = 0 let sin(x) =...

Answered by Tom A. • Maths tutor

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Quel rôle la propagande a-t-elle joue dans le régime Vichy ?

Au sommet du Régime Vichy, des centaines de milliers d'affiches et de bustes ont été produits, le profil de Pétain était sur les timbres-poste, et des chansons ont été écrites au sujet de Pétain pour proc...

Answered by Katherine W. • French tutor

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The curve C has equation y = (x^2 -4x - 2)^2. Point P lies on C and has coordinates (3,N). Find: a) the value of N. b) the equation of the tangent to C at the point P, in the form y=mx+c where m and c are constants to be found. c) determine d^2y/dx^2.

a) Sub x=3 into the given equation. N is found to be 25.b) Finding dy/dx gives me, as the first differential is the gradient.First differentiate the power and then multiply the differential of the express...

Answered by Tom A. • Maths tutor

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Explain why a skill may be classified as open?

An open skill is one which is externally paced and is controlled by the environment around the performer. Movements must be adapted to this change in the environment. For example, a hockey midfielder look...

Answered by • Physical Education tutor

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Two masses A and B, 2kg and 4kg respectively, are connected by a light inextensible string and passed over a smooth pulley. The system is held at rest, then released. Find the acceleration of the system and hence, find the tension in the string.

First we draw a diagram of this system (on whiteboard). Remember to label diagram correctly - the tension on both sides act towards each other.
Since B is a larger mass, we know that mass A will mov...

Answered by • Maths tutor

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