If `sinx+cos e cx=2,` then `sin^n x+cos e c^n x` is equal to `2` (b) `2^n` (c) `2^(n-1)` (d) `2^(n-2)`

If sin x+csc x=2, then sin^(n)x+csc^(n)x is equal to 2(b)2^(n)(c)2^(n-1)(d)2^(n-2)

If sin x+cosec\ x=2, then write the value of sin^n x+cos e c^n xdot

If cos2x+2cosx=1t h e n ,(2-cos^2x)sin^2x is equal to

If X = [{:( 1,1), ( 1,1):}]then X ^(n) , for n in N, is equal to : a) 2 ^(n -1) X b) n ^(2)X c) nX d) 2 ^(n +1) X

If f(x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)......(cos nx+i sin n and f(1)=1, then f^(11) is equal to (a) (n(n+1))/(2) (b) {(n(n+1))/(2)}^(2)(C)-{(n(n+1))/(2)}^(2) (d) none of these

The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (n∈N) (a) 2npi (b) (4n+1)pi/2 (c) (2n+1)pi (d) None of these

If quad f(x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)cos nx+i sin nx and f(1)=1, then f(1) is equal to (n(n+1))/(2) (b) {(n(n+1))/(2)}^(2)(c)-{(n(n+1))/(2)}^(2) (d) none of these

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x

sin (n +1) x sin (n +2) x + cos (n +1) x cos (n +2) x = cos x