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The graph of the function, cos x cos (x ...

The graph of the function, `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)
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  2. If alpha, beta, gamma are acute angles and cos theta = sin beta//sin a...

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  3. if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alph...

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

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  5. The graph of the function, cos x cos (x +2) -cos^2 (x+1) is

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

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

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  8. If un=sin(n theta) sec^n theta,vn=cos(ntheta)sec^ntheta n in N n!=1 t...

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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 sin(theta+pi/6)+cos(theta+pi/6) is attained at th...

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  13. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

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

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  15. If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(...

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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))(cosalpha(2))...(cosalpha(n)), under...

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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^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

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  20. For a positive integer n , fn(theta)=(tantheta/2)(1+sectheta)(1+sec2th...

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