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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
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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 log a (x) k =k log a (x)This turns log7 (x+1) = log3 (x+2) to (x+1) log7 = ...
AE
Answered by Anwulika E. • Maths tutor
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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 charac...
MG
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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 = r 2 Where centre of circle (-a,-b) and r is the radiusTo get the right form use complete the square...
MG
Answered by Monique G. • Maths tutor
4132 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 becom...
OM
Answered by Orlando M. • Chemistry tutor
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