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The graph of the function y = cos x co...

The graph of the function
`y = cos x cos (x+2) - cos^(2)(x+1)` is

A

a straight line passing through `(0, -sin^(2)theta)` with slope 2

B

a straight line passing through (0, 0)

C

a parabola with vertex `(1, -sin^(2)1)`

D

a straight line passing through the point `(pi/2, - sin^( 2)1)` and parallel to the X-axis

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

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  2. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

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  3. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

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  4. If t a nbeta=(n sinalphacosalpha)/(1-n sin^2alpha) , show that tan(alp...

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  5. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

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  6. The graph of the function y = cos x cos (x+2) - cos^(2)(x+1) is

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  7. If f (theta) = |sin theta| + |cos theta|, theta in R, then

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  8. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

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  9. If u(n)=sin(n theta) sec^(n) theta, v(n)=cos(n theta) sec^(n) theta ,...

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  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

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  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

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  12. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

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  13. If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4)

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  14. The minimum value of the expression sinalpha+sin beta+sin gamma, wher...

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  15. If cos x-sin alpha cot beta sin x=cos alpha, then the value of tan (x/...

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  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

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  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos *...

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  19. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

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  20. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

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