If A=tan-1(x), then sin2A =
2x1-x2
2a1-x2
2x1+x2
Noneofthese
Finding the value:
Given,
A=tan-1(x)tanA=x
Also we know,
sin2A=2tanA1+tan2A
Now put the value of tanA=x
sin2A=2Γx1+x2βsin2A=2x1+x2
Hence the correct option is(B)
State, Whether the following statements are true of false.
(i) If a<b, then a−c<b−c
(ii) If a>b, then a+c>b+c
(iii) If a<b, then ac>bc
(iv) If a>b, then ac<bc
(v) If a−c>b−d; then a+d>b+c
(vi) If a<b, and c>0, then a−c>b−c where a, b, c and are real numbers and c≠0.
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
(i) If x β A and A β B, then x β B
(ii) If A β B and B β C, then A β C
(iii) If A β B and B β C, then A β C
(iv) If A β B and B β C, then A β C
(v) If x β A and A β B, then x β B
(vi) If A β B and x β B, then x β A