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Given that: 2tanθsinθ = 4 - 3cosθ , show that: 0 = cos²θ - 4cosθ + 2 .

Starting with: 2tanθsinθ = 4 - 3cosθ . We can rewrite tanθ in terms of sinθ and cosθ.We know: tanθ = sinθ ÷ cosθ .By substituting we get: 2(sinθ ÷ cosθ)sinθ = 4 - 3cosθ .Let's multiply out by cosθ to get:...

Answered by Henry S. • Maths tutor

5035 Views

Write 9sin(x) + 12 cos(x) in the form Rsin(x+y) and hence solve 9sin(x) + 12 cos(x) = 3

9sin(x) + 12 cos(x) = Rsin(x+y) =R(sin(x)cos(y)+cos(x)sin(y))= (Rcos(y))sin(x) + (Rsin(y))cos(x)Therefore by matching the coefficientsRsin(y)=12, Rcos(y)=9 [1]SoRsin(y)/Rcos(y) = 12/9 = 4/3, therefore tan...

Answered by James H. • Maths tutor

5572 Views

Translate the following passage into Spanish: When I was young, I used to visit my granddad every Friday. One day, I visited him with my mum. We drank coffee and watched the football. There isn't much to do in my granddad's house.

Cuando era pequeñ@, yo visitaba a mi abuelo cada viernes. Un día, lo visité con mi madre. Bebimos cafe y vimos el fútbol. No hay mucho que hacer en la casa de mi abuelo.

Answered by Anna G. • Spanish tutor

2303 Views

Explain what is meant by a Liberal Democracy

Free and fair elections- Rousseau, social contractchecks and balances/ separation of powers- jeffersonpotential to talk about constitutionalism - could use Madison as a thinker/-Beetham- argued that for a...

Answered by Freya L. • Politics tutor

1860 Views

"In spite of more than US$1 trillion in aid to Africa over the last 50 years, GDP per capita growth in Africa decreased and was for many years even measured in negative figures. Aid is more of a hindrance to LEDCs". Discuss.

With any question of this sort it is important to try to break it down and answer it logically. However, it is equally important to arrive at a conclusion with a clear position on the statement that is ou...

Answered by Angus P. • Geography tutor

2888 Views