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Solve the equation 3sin^2(x) + sin(x) + 8 = 9cos^2(x), -180<X<180. Then find smallest positive solution of 3sin^2(2O-30) + sin(2O-30) + 8 = 9cos^2(2O-30).

Cos^2(x) + sin^2(x) = 1. Therefore Cos^2(x) = 1 - sin^2(x). So equation becomes 3Sin^2(x) + sin(x) + 8 = 9(1 - sin^2(x)). Then becomes 12sin^2(x) + sin(x) - 1This is quadratic equation, solved to (4sin(x) -1...
JR
Answered by Joshua R. • Maths tutor
15476 Views

Potassium and Sulfur form an ionic compound, how does this happen?

Potassium has one electron in its outer shell, and Sulfur has two. When forming an ionic compound with one atom of sulfur, two potassium atoms are used. Each potassium atom donates its outermost electron to ...
JC
Answered by Joshua C. • Chemistry tutor
35730 Views

Translate the following sentence into Spanish: "I am ashamed by my government's lack of action to stop climate change. When I am older I will be prime minister to try and save our precious planet."

Me da vergüenza de que mi gobierno no haya hecho mucho para impedir el cambio climático. Cuando yo sea adulta, voy a ser premio ministro para intentar salvar nuestro planeta precioso.
IM
Answered by Isobel M. • Spanish tutor
1954 Views

What are the differences and similarities between osmosis, active transport and diffusion?

Osmosis is a term used to describe the movement of water molecules from a high water potential to a low water potential. Diffusion is similar to this, however it is used to describe the movement of molecules...
JC
Answered by Joshua C. • Biology tutor
10055 Views

Que faites-vous pour protéger l'environnement?

Vu que j'habite assez près de mon école, j'y vais à pied chaque jour pour essayer de réduire mon usage de ma voiture. En plus, l'année dernière ma famille a installé des panneaux photovoltaïques sur le toit ...
IM
Answered by Isobel M. • French tutor
3088 Views