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If f(x)=2 sin^2theta+4 cos (x+theta) sin...

If `f(x)=2 sin^2theta+4 cos (x+theta) sin x * sin theta+cos (2x+2theta)` then value of `f^2(x) +f^2(pi/4-x)` is

A

0

B

1

C

-1

D

`x^2`

Text Solution

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The correct Answer is:
B
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MOTION-FUNCTION-Exercise - 1 ( JEE Main)
  1. Which one of the following pair of functions are NOT identical?

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  2. Let f(x) = sin^2(x//2) + cos^2(x//2) and g(x) = sec^2x- tan^2x. The tw...

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  3. If f(x)=2 sin^2theta+4 cos (x+theta) sin x * sin theta+cos (2x+2theta)...

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  4. Let P(x,y) be a moving point in the x-y plane such that [x].[y] = 2, w...

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  5. Total number of solution of 2^(cosx)=abs(sinx)"in"[ -2pi,5pi] is equa...

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  6. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

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  7. Total number of solutions of the equation x² -4-[x]=0 are (where (.) d...

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  8. Given that y=2[x]+3 and y=3[x-2]+5 then find the value of [x+y]

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  9. How many roots does the following equation possess 3^(|x|)(|2-|x||)=1?

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  10. Let A={p,q,r} and B={1,2}. Represent (i) A x B (ii) B x B

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  11. If A={-3,3), form the set A x A x A

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  12. The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and ont...

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  13. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

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  14. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

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  15. If f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5 is one-one function

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  16. The function f : (-oo, 3] to (o,e ^(7)] defined by f (x)=e ^(x^(3)-3x^...

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  17. f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of ...

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  18. The function f(x)=log((1+sinx)/(1-sinx)) is

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  19. It is given that f(x) is an even function and satisfy the relation f(x...

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  20. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

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