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Write 1 + √3i in modulus-argument form

In order to understand this question we must define what modulus-argument form is. The modulus of a complex number is its distance from the origin (0,0) on the Argand Diagram. It is written as |z|. The ar...

Answered by Tom M. • Further Mathematics tutor

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How do I conjugate the verb 'ir' in the preterite tense?

The verb 'ir' is very irregular, in the preterite tense it is conjugated as follows: yo fui tú fuiste el/ella fue nosotros fuimos vosotros fuisteis ellos/ellas fueron

Answered by Abigail H. • Spanish tutor

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A particle A rests on a smooth inclined plane, it is connected to a particle B by a light inextensible string that is passed over a fixed smooth pulley at the top of the plane. B hangs freely. Find the acceleration of the system and tension in the string.

Full Question: A particle A of mass 2.5kg is at rest on a smooth inclined plane at an angle of 25 degrees, it is connected to a particle B of mass 1.5kg by a light inextensible string which lies along a l...

Answered by Kyle W. • Maths tutor

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What is the past historic and should I know how to use it?

The past historic (also called the passé simple) is one of the French past tenses, along with the perfect and imperfect. It replaces the perfect (passé composé) in literary texts and is therefore mainly u...

Answered by Anna S. • French tutor

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Edexcel C3 June 2015 Q1: tan(x)=p, where p is a constant. Using standard trigonometric identities, find the following in terms of p. a) tan(2x). b) cos(x). c) cot(x-45).

a) tan(A+B)=(tanA+tanB)/(1-tanAtanB) So, tan(2x)=[tan(x)+tan(x)]/[1-(tanx)(tanx)]. Therefore, tan(2x)=[2tan(x)]/[1-tan^2(x)] = 2p/(1-p^2). b) cos(x)=1/sec(x). Using other trigonometric identities, we know...

Answered by Liam R. • Maths tutor

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