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Question Number 93397 Answers: 0 Comments: 2

prove that ((1−tan^3 θ)/(1 + tan^3 θ)) = 1−2sin^3 θ

$prove that \frac{1 - \tan^{3} θ}{1 + \tan^{3} θ} = 1 - {2 \sin}^{3} θ$

Question Number 93388 Answers: 0 Comments: 2

Question Number 93376 Answers: 0 Comments: 1

x^x^x =((1/2))^(1/2) x=?

$x^{x^{x}} = {(\frac{1}{2})}^{\frac{1}{2}}$ $x = ?$

Question Number 93371 Answers: 0 Comments: 21

New version of the app with usability enhacements is now available on playstore. Pleasd update app. Comment on this post for problem/feedback suggestions.

$New version of the app with usability$ $enhacements is now available on$ $playstore .$ $Pleasd update app .$ $Comment on this post for$ $problem / feedback suggestions .$

Question Number 93368 Answers: 1 Comments: 0

given that f(r)= sin (1 + 2r)θ show that f(r)−f(r−1) = 2 cos 2r θ sin θ hence show that Σ_(r=1) ^n cos 2r θ sin θ = cos (n +1)θ sin nθ

$given that f (r) = \sin (1 + 2 r) θ$ $show that f (r) - f (r - 1) = 2 \cos 2 r θ \sin θ$ $hence show that$ $\underset{r = 1}{\sum^{n}} \cos 2 r θ \sin θ = \cos (n + 1) θ \sin n θ$

Question Number 93367 Answers: 0 Comments: 2

show using demoives theorem that sin^2 θ cos^2 4θ =(1/8)(1−cos4θ)

$show using demoives theorem that$ $\sin^{2} θ \cos^{2} 4 θ = \frac{1}{8} (1 - \cos 4 θ)$

Question Number 93366 Answers: 1 Comments: 0

solve the equation (z−2)^3 = (1/2)−i((√3)/2)

$solve the equation$ ${(z - 2)}^{3} = \frac{1}{2} - i \frac{\sqrt{3}}{2}$

Question Number 93365 Answers: 0 Comments: 3

given that α is a real number, use mathematical induction or otherwise to show that cos ((α/2))cos((α/2^2 ))cos((α/2^3 )) ...cos((α/2^n )) = ((sin α)/(2^n sin((α/2^n )))) hence find the lim_(n→∞) cos((α/2))cos((α/2^2 ))cos((α/2^3 )) ... cos((α/2^n ))

$given that α is a real number, use mathematical induction or$ $otherwise to show that$ $\cos (\frac{α}{2}) \cos (\frac{α}{2^{2}}) \cos (\frac{α}{2^{3}}) . . . \cos (\frac{α}{2^{n}}) = \frac{\sin α}{2^{n} \sin (\frac{α}{2^{n}})}$ $hence find the$ $\lim_{n \to \infty} \cos (\frac{α}{2}) \cos (\frac{α}{2^{2}}) \cos (\frac{α}{2^{3}}) . . . \cos (\frac{α}{2^{n}})$

Question Number 93350 Answers: 1 Comments: 0

f(x)=x^3 +2x Find: f^(−1) (x)

$f (x) = x^{3} + 2 x$ $F i n d : f^{- 1} (x)$

Question Number 93340 Answers: 1 Comments: 7

Σ_(k = 1) ^(2011) (1/(k(k+1)(k+2))) ?

$\underset{k = 1}{\sum^{2011}} \frac{1}{k (k + 1) (k + 2)} ?$

Question Number 93331 Answers: 1 Comments: 2

If f(x+y) = f(x)+f(y) and f(1)=5 then what is the value of f(2020) ?

$If f (x + y) = f (x) + f (y) and$ $f (1) = 5 then what is the value$ $of f (2020) ?$

Question Number 93330 Answers: 1 Comments: 0

A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is

$A committee of five is to be chosen from$ $a group of 9 people . The probability$ $that a certain married couple will either$ $serve together or not at all is$