prove that : 2* (3)-tanG7)-

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Prove that (2 +sqrt(3))^(7) +(2-sqrt(3))^(7)=10084 Hence show that 10083 lt ( 2+sqrt(3))^(7) lt 10084 .

If (2^(3n)-1) is divisible by 7, then prove that, [2^(3(n+1))-1] is also divisible by 7.

Prove that : 2 sin^(-1)( 3/5) = tan^(-1)( 24/7)

Prove that : 2sin^-1 (3/5) = tan^-1 (24/7)

By mathematical induction prove that 2^(3n) -1 is divisible by 7.

Prove that : 7^(2n)+(2^(3n-3))(3^(n-1)) is divisible by 25 forall n in N .

If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

Prove that : tan\ pi/7*tan\ (2pi)/7*tan\ (3pi)/7=sqrt(7)

Prove that: 2sin^(-1)(3/5)=tan^(-1)((24)/7)

Prove that : 2"sin"^(-1)3/5="tan"^(-1)24/7