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Ilya [14]
3 years ago
5

Please help me with this question

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

cos(x-30)=1/2

Step-by-step explanation:

We use the following relationship to obtain cos(x)

sin^{2}(x) +cos^{2}(x) +1

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4

To obtain the value of cos(x-30), lets remember the following expression:

cos(a-b)=cos(a)*cos(b)+sin(a)*sin(b)

Therefor, we can use that to obtain our desired function cos(x-30)

cos(x)*cos(30)+sin(x)*sin(30)

\frac{\sqrt{3} }{2} * \frac{\sqrt{3} }{2}  +\frac{-1}{2}*\frac{1}{2}

=2/4=1/2

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