Inverse trigonometric function https://www.quora.com/How-can-I-found-blog-for-do-follow-backlinkshttps://www.quora.com/How-can-I-found-blog-for-do-follow-backlinks
difference between expression equation and inequality. Look at the figure carefully, especially the X and Y axis labels. Expression:- x²-5 x+6 Expression In expression x axis- real number Y axis- imaginary number Equation:- x²-5 x+6=0 Equation In equation - x²-5 x+6=0 (x-2)(x-3)=0 x=2,x=3 Represent two lines which cuts x axis at 2 points. Inequality:- x²-5 x+6>0 x²-5 x+6<0 Inequality x²-5 x+6<0 x²-5 x+6<0 show for all value of x (in a domain between 2and3) this inequality qives neq.value.
Domain and range sin^(-1)(x), Domain→[-1,1] Range:→[-(Ï€)/(2),(Ï€)/(2)] cos^(-1)(x), Domain→[-1,1] Range:→[0,Ï€] tan^(-1)(x) Domain→R. Range→[-(Ï€)/(2),(Ï€)/(2)] sec^(-1)(x) Domain→R-(-1,1) Range→[0,Ï€]-{(Ï€)/(2)} cosec^(-1)(x) Domain→R-(-1,1) Range→[-(Ï€)/(2),(Ï€)/(2)]-{0} cot^(-1)(x) Domain→R Range→[0,Ï€]
INVERSE TRIGONOMETRIC FUNCTION y=sinx Note:- Sinx is a function.its mean for every x(x=1,2,3,...n) we get one value .otherwise it is called relation.concepts of one-one or many-one onto function. To find sin–x graph through sinx graph. Step:- Rotate this figure 90°anticlock wise. Note:- After rotation negative numbers are placed right side of zero .this is not standard form.But its mirror image form a standard form. Note:- This graph show relation between x and y .not a fuction because this not follow one-one or many-one rule. So we reduce the graph to make one -one function. <script type='text/javascript' src='//pl15551843.passtechusa.com/56/77/57/5677573a6371f2ef04477fd26c794198.js'></script>
(x+y+z)^(5)=x^(5)+y^(5)+z^(5)+5[x^(4)y+x^(4)z+y^(4)x+y^(4)z+z^(4)x+z^(4)y]+10[x^(3).y^(2)+x^(3).z^(2)+y^(3).x^(2)+y^(3).z^(2)+z^(3).x^(2)+z^(3).y^(2)]+20[x^(3)yz+y^(3)xz+z^(3)xy]+30[x^(2)y^(2)z+x^(2)z^(2)y+y^(2)z^(2)x]
WE USE CONCEPT OF PERMUTATIONS AND COMBINATIONS IN THE EXPANSION OF (x+y+z)^5 This is the concept behind the binomial expansion
eq1: (x+y+z)^(4)=x^(4)+y^(4)+z^(4)+4[x^(3)y+x^(3)z+y^(3)x+y^(3)z+z^(3)x+z^(3)y]+6[x^(2)y^(2)+x^(2)z^(2)+z^(2)y^(2)]+12[x^(2)yz+y^(2)xz+z^(2)xy] Concept of binomial expansion