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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
3775 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 "b" coefficient i...

NB
Answered by Nicholas B. Maths tutor
6198 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 specifi...

GC
1731 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 tha...

RB
Answered by Riccardo B. Maths tutor
5025 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 fondam...

RB
Answered by Riccardo B. Italian tutor
1526 Views

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