If sin^4 x+cos^4x=sinx.cosx, then x is ...

If `sin^4 x+cos^4x=sinx.cosx, then x ` is equal to (A) `npi, nepsilon I` (B) `(6n=1) pi/6, n epsilon I` (C) `(4n+1) pi/4, n epsilon I` (D) none of these

AI Generated Solution

Similar Questions

Explore conceptually related problems

If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2n+1)pi/2,\ n in I (c) x=npi+-\ pi/6,\ n in I (d) none of these

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

If 4sin^4x+cos^4x=1 ,then x is equal to (n in Z) (a) npi (b) npi+-sin^(-1)sqrt(2/5) (c) (2npi)/3 (d) 2npi+-pi/4

If 4\ cos^2theta+sqrt(3)=2(sqrt(3)+1)costheta, then theta is 2npi+-pi/3, n in I (b) 2npi+-pi/4, n in I 2npi+-\ pi/6, n in I (d) none of these

The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=2npi,n in Z (c) x=npi,n in Z (d) none of these

If t a n x=3cot x , then the general value of x is (A) npi+pi/6,"n" in "I" (B) npi+pi/3,"n" in "I" (C) npi+-pi/6,"n" in "I" (D) npi+-pi/3,"n" in "I"

If I_n=int(sinx)^ndx, n in N , then 5I_4-6I_6 is equal to

General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi/2,n in I (2) (4n-1)pi/2,n in I (3) (2n+1)pi/2,n in I (4) (6n+1)pi/2,n in I

If I_n=int_0^(pi/2) x^n sinx dx , then [I_4+12I_2] is equal to (A) 4pi (B) 3(pi/2)^3 (C) (pi/2)^2 (D) 4(pi/2)^3

If 4sin^4x+cos^4x=1,t h e nxi se q u a lto(n in Z) npi (b) npi+-sin^(-1)sqrt(2/5) (2npi)/3 (d) 2npi+-pi/4