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If sintheta-costhetalt0, then theta lies...

If `sintheta-costhetalt0, then theta` lies between

A

`n pi-(3pi)/(4)and n pi+(pi)/(4), n inZ`

B

`n pi-(pi)/(4)and n pi+(3pi)/(4), n inZ`

C

`2npi-(3pi)/(4)and 2npi-(pi)/(4),n inZ`

D

`2npi-(3pi)/(4)and 2npi+(pi)/(4),n in Z`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If alpha+beta+gamma=2pi then

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  3. If sintheta-costhetalt0, then theta lies between

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  4. If 2 sin""A/2=sqrt(1+sinA)+sqrt(1-sinA,)then A/2 lies between,

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  5. If 2cos""(A)/(2)=sqrt(1+sinA)+sqrt(1-sinA), thenA/2 iles between,

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  6. Find the angle theta whose cosine is equal to its tangent.

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  7. The value of cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(...

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  8. Find the value of : cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)c...

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  9. The value of tan 5 theta is

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  10. If costheta=cos alphacosbeta, then tan((theta+alpha)/(2))tan((theta-al...

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

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

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

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

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

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

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

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

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

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

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