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If abs(cos theta{sin theta+sqrt(sin^2the...

If `abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek`, then the value of k

A

`sqrt(1+cos^(2)alpha)`

B

`sqrt(1+sin^(2)alpha)`

C

`sqrt(2+sin^(2)alpha)`

D

`sqrt(2+cos^(2)alpha)`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-al...

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  3. If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek, then the ...

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  4. The value of sin10^@+sin20^@+sin30^@...+sin360^@ is equal to -

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  5. The expression 3{sin^(4)((3pi)/(2)-alpha)+sin^(4)(3pi-alpha)} -2{s...

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  6. If sinA+sinB=(pi)/(4),then (tanA+1)(tanB+1) is equal to

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  7. If sinA+sinB=a and cosA+cosB=b,then cos(A+B)

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  8. If an angle theta is divided into two parts A and B such that A-B=x an...

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  9. The value of the expression 3(sin theta- cos theta)^4 + 6(sin theta ...

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  10. If tan((theta)/(2))=5/2and tan((phi)/(2))=3/4, the value of cos(theta+...

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  11. If alpha,beta, gamma in(0,(pi)/(2)), then prove that (Sin(alpha+beta+g...

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  12. If sin x+siny=3(cosy-cosx),then the value of (sin3x)/(sin3y), is

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  13. If cosx=tany,cos y=tanz cosz=tanx, then the value of sin x, is

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  14. If k=sin^(6)c+cos^(6)x, then k belongs to the interval

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  15. The value of tan9^@-tan2 7^@-tan6 3^@+tan8 1^@ is equal to

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  16. 2tan^2 alpha tan^2 betatan^2gamma+tan^2 alpha tan^2beta+tan^2 betatan^...

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  17. the value of e^(log(10)tan1^@+log(10)tan2^@+log(10)tan3^@....+log(10)t...

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  18. For what and only what values of alpha lying between 0 and pi/2 is the...

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  19. If (secA-tanA)(secB-tanB)(secC+tanC)=(secA+tanA)(secB+tanB)(secC-tanC)...

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  20. If pi lt alpha lt (3pi)/2then the expression sqrt(4 sin^4alpha +sin^2 ...

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