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Solve 2sin2θ = 1 + cos2θ for 0° ≤ θ ≤ 180°

sin2θ = 2sinθcosθ (double angle formula for sine)cos2θ = cos 2 θ - sin 2 θ (double angle formula for cosine) = 2cos 2 θ - 1 (utilising the trignometric identity sin 2 θ + cos 2 θ = 1) We substitute these int...
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Answered by Samuel N. Maths tutor
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How should I struture my response to an essay question?

Any essay should have an Introduction, Conclusion and Thematic Sections in between where the main body of the essay will be. In the introduction you should lay out the Context of the question (perhaps aided ...
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Answered by Jamie P. History tutor
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How does antibiotic resistance arise and how can resistance spread?

i. How does antibiotic resistance arise? antibiotic resistance = bacteria that cannot be treated with antibiotics resistance arises when bacterial genes mutate (=a change in base sequence of DNA) - leads to ...
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Answered by Keemia A. Biology tutor
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In which contexts should I use the present subjunctive instead of the present indicative?

Knowing when to use the present subjunctive instead of the present indicative can be tricky, but luckily there is a handy acronym to help you remember when you need it… WEIRDO W : Wishes/Desirese.g. Espero q...
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Answered by Hannah K. Spanish tutor
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Solve algebraically the simultaneous equations x^2 + y^2 = 25 and y − 2x = 5 (5 marks)

First consider each equation separately and label them with a number. x 2 + y 2 = 25 (1) y - 2x = 5 (2) This question is difficult as it involves square numbers, unlike a normal simultaneous equation. Hence ...
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Answered by Karisma S. Maths tutor
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