" (ii) "(1)/(sin(x-a)cos(x-b))=(cot(x-a)-tan()/(cos(a-b))

Prove that: (1)/(sin(x-a)cos(x-b))=(cot(x-a)+tan(x-b))/(cos(a-b))

Prove that: 1/(sin(x-a)cos(x-b))=(cot(x-a)+"tan"(x-b))/(cos(a-b))

Prove that: (1)/(cos(x-a)cos(x-b))=(tan(x-b)-tan(x-a))/(sin(a-b))

Prove that: 1/(cos(x-a)cos(x-b))=(tan(x-b)-"tan"(x-a))/(sin(a-b))

sin {cot^(-1)[tan (cos^(-1)x)]=

sin^-1(cos x)+tan ^-1(cot x)

sin^-1(cos x)+tan ^-1(cot x)

sin^(-1)(sin x)=x;cos^(-1)(cos x)=x;tan^(-1)(tan x)=x;cot^(-1)(cot x)=x;sec^(-1)(sec x)=x;cos ec^(-1)(cos ecx)

(b) tan^(-1)((1-cos x)/(sin x))

int_(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=