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solve the equation 2cos x=3tan x, for 0°<x<360°

We know that tan x =sin x/cos x,

so we can multiply the whole equation by cos x which gives us => 2cos^2 x =3 sin x

from the trig identity sin^2 (x)+ cos^2 (x)=1, we can sub in cos^2 (x)...

EG
Answered by Elizabeth G. Maths tutor
20836 Views

Factorise x^3+3x^2-x-3

Test factors of -3 to find a root for the equation. For example, try 1, 1^3+3*1^2-1-3=0, so 1 is a root, and (x-1) is a factor. Now it's known that: (ax^2+bx+c)(x-1)=x^3+3x^2-x-3. By comparing coefficient...

SC
Answered by Sian C. Maths tutor
7348 Views

How does the preceding direct object pronoun affect past participles in the following clause

The past participle agrees with the number and gender of the PDO with nothing added for masculine singular words, -e for feminine singular words, -s for masculine plural and -es for feminine plural E.g. L...

LR
Answered by Lorna R. French tutor
2039 Views

How do I translate the following? 'It is shocking that vulnerable adolescents are punished so severely.'

First we need to tackle the difference between 'Il est' vs. 'C'est'. Although not a huge grammatical error if chosen incorrectly, it looks impressive to examiners when a student can differentiate between ...

EB
Answered by Eleanor B. French tutor
3263 Views

How far can WW1 be considered a turning point for bringing about a change to the role and status of women in the years 1850-1950?

The long term significance of the war helped women to gain employment opportunities when the Sex Disqualifications Act was passed in 1919 which gave rights to women to enter professions like jurors, magis...

IK
Answered by Isha K. History tutor
9012 Views

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