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Express 6cos(2x) + sin(x) in terms of sin(x), hence solve the equation 6cos(2x) + sin(x) = 0 for 0<x<360

For the 1st part of the question: use the double angle formula to rewrite cos(2x) = cos^2(x) - sin^2(x). Then use the basic identity to write cos^2(x) = 1-sin^2(x), hence cos(2x) = 1-2sin^2(x). Plug the rewr...
GF
Answered by Gwen F. Maths tutor
10124 Views

What are the key themes in Shakespeare's The Tempest?

The Tempest is technically a traditional comedy with the ending being the unification of Ferdinand and Miranda. From this we must assume that love is a key theme but the narrative arc of Prospero would also ...
JG
9534 Views

If I buy a dress at 30% off the original price and I pay £40. How much was the dress originally?

I like to address this question by using similar fractions. That is to say x/y=2x/2y X over y is the same as 2x over 2y In this example we are asked what the full price of the dress is, as in what 100% of th...
LR
Answered by Lauren R. Maths tutor
5832 Views

What is Historiography and how to I include it in my essay?

The use of historiography is likely to be something which is new to A Level Historians. But do not be afraid. Quite simply historiography is the discussion of what historians have said about the events rathe...
LR
Answered by Lauren R. History tutor
5192 Views

How do you conjugate a verb in the present tense?

It all depends on the infinitive verb ending. For regular verbs; if it ends in -er: 1) Remove the -er from the end of the verb 2) Add the following verb endings, depending on the pronoun, je: -e, tu: -es, il...
MH
Answered by Minnie H. French tutor
3144 Views