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Solve for 0=<x<360 : 2((tanx)^2) + ((secx)^2) = 1

First step I would take would make it look less intimidating by converting all components into sin and cos i.e 2(((sinx)/(cosx))^2) + 1/((cosx)^2) = 1 Notice that there is a common denominator of cosx^2 so I...
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Answered by Bryan P. Maths tutor
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Find the exact solution to: ln(x) + ln(7) = ln(21)

Log rules: log(a) + log(b) = log(ab) so, in this case, we must find x such that 7x = 21 thus x = 3 similarly, log(a) - log(b) = log(a/b) rearranging the original equation we get: ln(x) = ln(21) - ln(7) so x ...
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Answered by Bryan P. Maths tutor
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Write sqrt(50) in the form Asqrt(50) where A is an integer

Note that sqrt(ab)=sqrt(a)sqrt(b) Thus to have A, an integer, we must find the highest number 'a' that is a square number and is also a factor of 50. So, a=25 and b=2 (ab=25x2=50) and we have: sqrt(50) = sqr...
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Answered by Bryan P. Maths tutor
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How can I improve my German vocabulary?

First of all, don't worry if you're feeling overwhelmed by the amount of German vocabulary you need to know – sometimes it can feel like quite a lot, especially if you haven't been learning the language all ...
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Answered by James M. German tutor
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What is the imperative and when should I use it?

The imperative form, known as the Befehlsform in German, is used to modify the verb when you are giving a command (including polite commands!). Sentences using the imperative are often followed by an exclama...
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Answered by James M. German tutor
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