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Within what limits must A/2 lies if 2sin...

Within what limits must `A/2` lies if `2sinA/2=-sqrt(1+sinA)-sqrt(1-sinA)` ?

A

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

B

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

C

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

D

`-ooand +oo`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If sintheta-costhetalt0, then theta lies between

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  3. Within what limits must A/2 lies if 2sinA/2=-sqrt(1+sinA)-sqrt(1-sinA)...

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

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

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  6. Prove that cos((2pi)/(15))cos((4pi)/(15))cos((8pi)/(15))cos((14pi)/(15...

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  7. Prove:cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)co...

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  8. The value of tan 5 theta is

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

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

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

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

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  13. If A+B=(pi)/(4),then (tanA+1)(tanB+1) is equal to

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

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

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  16. The value of the expression is

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

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  18. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

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

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  20. If cosx=tany ,cosy=tanz ,cosz=tanx , then the value of sinx is 2cos18^...

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