Difference between revisions of "MIE 2016/Day 1/Problem 4"

(Created page with "===Problem 4=== In the expansion of <math>\left(x\sin2\beta+\frac{1}{x}\cos2\beta\right)^{10}</math> the independent term (in other words, the term without <math>x</math>)...")
 
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==Solution ==
 
==Solution ==
 +
&\tan(2b)= &\frac{1}{4}\\&
  
 
==See Also==
 
==See Also==

Latest revision as of 05:19, 17 June 2021

Problem 4

In the expansion of

$\left(x\sin2\beta+\frac{1}{x}\cos2\beta\right)^{10}$

the independent term (in other words, the term without $x$) is equal to $63/256$. With $\beta$ being a real number such that $0< \beta<\pi/8$ and $x\neq0$, the value of $\beta$ is:


(a) $\frac{\pi}{9}$

(b) $\frac{\pi}{12}$

(c) $\frac{\pi}{16}$

(d) $\frac{\pi}{18}$

(e) $\frac{\pi}{24}$

Solution

&\tan(2b)= &\frac{1}{4}\\&

See Also

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