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Given that (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = 7, show that tan(x)^2 = 3/2

First, we use 1 - sin(x)^2 = cos(x)^2 and get:(LHS) (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2)= (cos(x)^2 + 4 sin(x)^2)/cos(x)^2= 1 + 4 (sin(x)/cos(x))^2= 1 + 4 tan(x)^2Now we know that the left hand side is equal...
BM
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The surface run-off of nitrate from agricultural fertiliser into freshwater ponds and lakes can cause the death of the fish. Explain how this happens.

This question crops up a lot and may be up to a five mark question, if you learn the key points and terms you can be confident of getting all the marks you can here! First of all, an algal bloom occurs which...
SM
Answered by Sarah M. • Biology tutor
5572 Views

What is translation?

Translation is the process of production of protein from a mRNA template, with the help of the rRNA and tRNA.
JP
Answered by Jane P. • Chemistry tutor
2933 Views

Which is the essential enzyme in the Calvin Cycle?

The answer is RuBisCo (or simply Rubisco). This enzyme helps in the formation of two 3-carbon molecules = glyceraldehyde-3-phosphate (G3P) from a pentose. The process involves the fixation of CO2 in the pent...
JP
Answered by Jane P. • Chemistry tutor
2828 Views

When do I need to put an accent (pronunciation rules)?

Spanish is great because it is a language which is completely phonetic, which means it is read exactly how it is written and always follows certain rules. One of those rules is about stress. All multi-syllab...
SB
Answered by Sebastian B. • Spanish tutor
4778 Views