`((-5)/(4))^(-1)=?`

sin^(-1)(4/5)+cos^(-1). 5/13 +sec^(-1)(5/4)+"cosec"^(-1)(13/5) is :

The value of (33)/(40)+(1)/(5)[(4)/(5)-(1)/(5)xx((7)/(8)-(5)/(4))] is :

int_(0)^(1)1/((x^(2)+16)(x^(2)+25))dx is equal to a) 1/(5)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))] b) 1/(9)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))] c) 1/(4)[1/(4)"tan"^(-1)(1/(4))-1/(5)"tan"^(-1)(1/(5))] d) 1/(9)[1/(5)"tan"^(-1)(1/(4))-1/(4)"tan"^(-1)(1/(5))]

4(4)/(5)-:{2(1)/(5)-(1)/(2)(1(1)/(4)-(1)/(4)-(1)/(5))}

2xx13(3)/(4)xx5(1)/(4)+5(1)/(4)xx5(1)/(4)+13(3)/(4)xx13(3)/(4)=? (a) 311(b)316(c)361(d)380

cos[sin^(-1)(-4//5)-cos^(-1)(4//5)]=

1+2-:{1+2-:(1+(1)/(3))} is equal to (a) 1(4)/(5)( b) 2(1)/(4)( c) 4(1)/(5)( d )5(1)/(4)

Prove:- ((sqrt5-1)/4)^2 ((sqrt5+1)/4)^2 =(1/16)