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For any real theta, the maximum value of...

For any `real theta,` the maximum value of `cos^(2)(costheta)+sin^(2)(sintheta)` is

A

1

B

`1+sin^(2)1`

C

`1+cos^(2)1`

D

does not exist

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The correct Answer is:
B
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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
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  2. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

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  3. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

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  4. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

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  5. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  6. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

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

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

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

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

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

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

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

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

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

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

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

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

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

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