If `tantheta=sqrt(a/b)`where `a , b ` are positive reals then the value of `sinthetasec^7theta+costheta cosec^7theta` is- a.`((a+b)^3(a^4+b^4))/((a b)^(7//2))` b. `((a+b)^3(a^4-b^4))/((a b)^(7//2))` c.`((a+b)^3(b^4-a^4))/((a b)^(7//2))` d. `((a+b)^3(a^4+b^4))/((a b)^(7//2))`

If tan theta=sqrt((a)/(b)) where a,b, are positive reals then the value of s int h eta sec^(7)theta+cos theta cos ec^(2)theta is-a.((a+b)^(3)(a^(4)+b^(4)))/((ab)^(7/2)) b.((a+b)^(3)(a^(4)-b^(4)))/((ab)^(7/2)) c.((a+b)^(3)(b^(4)-a^(4)))/((ab)^(7/2))d.((a+b)^(3)(a^(4)+b^(4)))/((ab)^(7/2))

3a^7-b-81a^4b^4

If a,b,c are positive real no., then prove that [(1+a)(1+b)(1+c)]^7 gt 7^7a^4b^4c^4 .

If tantheta=3/4 , then cos^2theta-sin^2theta= (a) 7/(25) (b) 1 (c) -7/(25) (d) 4/(25)

If a/b=3/4 then find the value of 7a-4b:3a+b .

If tantheta=3/4 , then cos^2theta-sin^2theta= 7/(25) (b) 1 (c) -7/(25) (d) 4/(25)

What is (1)/(a-b) -(1)/(a+b) -(2b)/(a^(2)+b^(2))-(4b^(3))/(a^(4)+b^(4)) -(8b^(7))/(a^(8)-b^(8)) equal to ?

sqrt(a^3b^(-2/3)c^(7/6)) div sqrt(a^4b^-1c^(-5/4))