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Using trigonometric identities, show that (cos(x) + sin(x))^2=1+sin(2x)

First being by expanding the brackets of the formula on the left: (cos(x) + sin(x)) 2 = (cos(x) + sin(x))*(cos(x) + sin(x)) = cos 2 (x)+2cos(x)sin(x)+sin 2 (x).Now we must use our understanding of trigonomet...
Answered by • Maths tutor
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differentiate tanx

tanx = sinx/cosxapply the quotient rule use the identity cos^x + sin^x = 1 to simplify
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Answered by ayaz m. • Maths tutor
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When do I use the subjunctive in French?

The subjunctive form is gradually becoming less common in French, however it is important to be able to recognise this mood in writing. Its formation is simple:take the third-person present plural form of th...
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Answered by Stephen S. • French tutor
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Initially, trucks A and B are travelling in opposite directions. A has mass 1000 kg and is travelling at speed 7ms^-1. B has mass 4000kg and is travelling at speed 2ms^-1. What is their speed and direction after collision if they move together?

The law of conservation of momentum states that for a system, under the influence of no external forces, the sum of the momenta of all objects, which are calculated by multiplying their masses and velocities...
Answered by • Physics tutor
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Describe the process of annealing aluminium and explain the purpose of it.

Prepare the metal surface by rubbing it with a bar of soap. Place the metal against firebricks and use a gas torch to heat the metal surface evenly. When the soap turns black, stop heating the metal and allo...
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