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Show that 6sin(60◦) + 5tan(60◦) can be written in the form √k where k is an integer.

sin(60◦) = √3 /2 tan(60◦) = √3 6sin(60◦) + 5tan(60◦) = 3√3 + 5√3 = 8√3 = √64√3 = √192
AG
Answered by Alistair G. • Maths tutor
4412 Views

Find all solutions to the equation 8sin^2(theta) - 4 = 0 in the interval 2(pi) < (theta) < 4(pi)

First substiute sin(theta) = x (This step is not nesecessary but often people find quadratics easier to solve in variables that they usually use). Then due to the fact that the &quot;b&quot; coefficient in t...
NB
Answered by Nicholas B. • Maths tutor
7018 Views

What is the best way to structure my philosophy essays?

The first thing to do is to think in points; 'what points am I going to bring up for this specific question?' These points can be remembered/structured by specific scholars (e.g. Swinburne), or by specific a...
GC
2424 Views

How can I find the derivative of y = tan(x)?

Let's first recall the definition of tan(x) = sin(x)/cos(x). Hence, y' = d/dx( sin(x)/cos(x) ). Recall quotient rule for differentiation: ( f(x)/g(x) )' = ( f '(x)^2*g(x) - f(x)*g'(x)^2 ) / g(x)^2 and that d...
RB
Answered by Riccardo B. • Maths tutor
6134 Views

How can I translate in Italian: ''In World War I, Italy joined the Entente with France and Britain, despite having been a member of the Triple Alliance with Germany and Austria-Hungary, and gave a fundamental contribution to the victory of the conflict. ?

Nella Prima Guerra Mondiale, l'Italia si uni' alla Triplice Intesa con Francia e Gran Bretagna, nonostante fosse stata membro della Triplice Alleanza con Germania ed Austria-Ungheria, ed ebbe ruolo fondament...
RB
Answered by Riccardo B. • Italian tutor
2197 Views