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Let f(n)=2 cos nx AA n in N, then f(1)f(...

Let `f(n)=2 cos nx AA n in N`, then `f(1)f(n+1)-f(n)` is equal to

A

`f (n+3)`

B

`f(n+2)`

C

`f (n+1) f (2)`

D

`f (n+2) f (2)`

Text Solution

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The correct Answer is:
B
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  11. sin "" (pi)/(14) .sin "" (3pi)/(14).sin"" (5pi)/(14).sin""(7pi)/(14).s...

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  12. Value of ( 3 + cot 80^(@) cot 20^(@))/(cot 80^(@) cot 20 ^(@)) is equ...

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  13. In a Quadrilateral ABCD, cos A.cosB + sin C sin D=

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  15. (sin ^(2) A - sin ^(2) B)/( sin A cos A - sin B cos B) is equal to

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  16. ( sin 3 theta + sin 5 theta + sin 7 theta + sin 9 theta)/( cos 3 thet...

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  17. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

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  18. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

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  19. (sin (n +1) A + 2 sin n A + sin (n-1) A)/( cos ( n -1) A - cos (n +1) ...

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  20. If cos alpha+ cos beta= a, sin alpha+ sin beta= b and alpha- beta= 2 t...

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  21. If x and y are acute angles such that cos x+ cosy=(3)/(2) and sinx + s...

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