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A-level: solve 8cos^2(x)+6sin(x)-6=3 for 0<x<2(pi)

8(1-sin^2(x))+6sin(x)-6=38(1-sin^2(x))+6sin(x)-9=08sin^2(x)-6sin(x)+1=0(2sin(x)-1)(4sin(x)-1)=02sin(x)-1=0 4sin(x)-1=02sin(x)=1 4sin(x)=1sin(x)=1/2 sin(x)=1/4x=(pi)/6 , 5(pi)/6 , 0.253 , 2.89

KM
Answered by Katie M. Maths tutor
5524 Views

Solve the equation 7^(x+1) = 3^(x+2)

1st we will log both sides of the equation7(x+1) = 3(x+2) becomes log7(x+1) = log3(x+2)NEXT we will use the power law which is loga (x)k=k...

AE
Answered by Anwulika E. Maths tutor
5666 Views

How does Angela Carter use the fairy-tale genre in her short story The Bloody Chamber? (Genre-based A Level question that students often struggle with)

Angela Carter subverts characters from an easily-recognisable genre: the damsel in distress and the Prince Charming. While at first these characters conform into these archetypes (a conventional stock cha...

MG
6965 Views

A circle with centre C has equation x^2 + y^2 +8x -12y = 12

Recognise that the form this question is a circleRemember alternate circle equation (x + a)2 + (x + b)2 = r2Where centre of circle (-a,-b) and r is the radiusTo get the ri...

MG
Answered by Monique G. Maths tutor
3625 Views

Please describe an Ionic Bond

The mutual electrostatic attraction between pairs of oppositely charged ions. Usually the metal atom loses electrons to become a positively charged cation where as the non metal atom gains electrons to b...

OM
Answered by Orlando M. Chemistry tutor
2320 Views

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