Questions asked by kamil9234

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Prove this: $\frac{1 - {sin}^{4} x - {cos}^{4} x}{1 - {sin}^{6} x - {cos}^{6} x} = \frac{2}{3}$ $(1-sin^4x-cos^4x)/(1-sin^6x-cos^6x)=2/3$ ?
Prove it: $\sqrt{\frac{1 - cos x}{1 + cos x}} + \sqrt{\frac{1 + cos x}{1 - cos x}} = \frac{2}{| sin x |}$ $sqrt((1-cosx)/(1+cosx))+sqrt((1+cosx)/(1-cosx))=2/abs(sinx)$ ?
Prove it: ${tan}^{5} x = \frac{(\frac{1}{{(1 - sin x)}^{2}}) - (\frac{1}{{(1 + sin x)}^{2}})}{(\frac{1}{{(1 - cos x)}^{2}}) - (\frac{1}{{(1 + cos x)}^{2}})}$ $tan^5x=((1/(1-sinx)^2)-(1/(1+sinx)^2))/((1/(1-cosx)^2)-(1/(1+cosx)^2)$ ?
Simplify the expression?: $1/(sqrt(144)+sqrt(145))+1/(sqrt(145)+sqrt(146))+...+1/(sqrt(168)+sqrt(169))$
Solve this: $abs(2cos3x)=1$ ---> (x=... + ...)?
Solve this: $2sin2x+2sinx=2cosx+1$ ?
Can someone give me a clue, how can i solve this? I want something like: $x=pi/4+kpi$ ---> Solve this: $2sin^2(x)-sin^2(2x)=cos^2(2x)$
Simplify the expression? $cos(270+2alpha)+sin(450+2alpha)$
How many common points have $f$ and $g$ function graphs in the interval $<0;2pi>$ ?
Simplify the expression:? $(sin^2(pi/2+alpha)-cos^2(alpha-pi/2))/(tg^2(pi/2+alpha)-ctg^2(alpha-pi/2))$
If $tg^2alpha=3$ then $sin^2(2alpha)$ equal ...?
**Determine all the values of the parameter m for which the operation: ** $4x^2-6mx+(2m+3)(m-3)$ has TWO different real solutions. $x_1<x_2$ $(4x_1-4x_2-1)(4x_1-4x_2+1)<0$ ?
PROVE THAT: Data: $a,b,c,x,y,z > 0$ $1/x+1/y+1/z=1$ ?
Prove that function hasn't lim in $x_0=0$ ?
Which of the following fractions has the decimal expansion completed?
Find $lim_(x rarr oo) sqrt(x)/root3x$ ?
$f(x)=sqrt(x^4-1)+sqrt(1-x^8)$ Which is set of function values? A) <0,1> B) {0} C) (0;infinite) D) (0;1>
How many subsets does a set ${{{O/}}}$ have?
What is last digit $762^1816$ ?
How to calculate derivative? $(7x-1)^3(2x+1)^2$
Ex with lim: $lim_(x->4) ((sqrt(2x-7)-1)/(sqrt(x-3)-1))$ ?
Which one is the smallest number? a) $0.02^(0.03)$ b) $0.03^(0.02)$ c) $log_(0.98) 1.01$ d) $sin(0.02)$ How to choose right answer quick?
Prove that: (is true for any positive x,y):? $x^x*y^y>=((x+y)/2)^(x+y)$
What is $P(AuuBuuC)$ ?
Prove that? : $P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnB)-P(BnnC)-P(AnnC)+P(AnnBnnC)$
Are disjoint events always independent?
How many 8-character passwords can be created from 26 lowercase letters and 10 digits, assuming that in every password there must be as many letters and numbers as?
In which of these situations the work done by the force acting on the slab will be greater?