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If pi lt alpha lt (3pi)/2then the expres...

If `pi lt alpha lt (3pi)/2`then the expression `sqrt(4 sin^4alpha +sin^2 2alpha)+4cos^2(pi/4-alpha/2)` is equal to (A)` 2 +4sinalpha` (B) `2-4cosalpha` (C) 2 (D)` 2-4sinalpha`

A

`2+4 sin alpha`

B

`2-4sin alpha`

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
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  2. If (secA-tanA)(secB-tanB)(secC+tanC)=(secA+tanA)(secB+tanB)(secC-tanC)...

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

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  4. If alpha is an acute angle and sin(alpha/2)=sqrt((x-1)/(2x)) then tan ...

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  8. The value of cospi/7+cos(2pi)/7+cos(3pi)/7+cos(4pi)/7+cos(5pi)/7+cos(6...

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  9. cos(2pi/7)+cos(4pi/7)+cos(6pi/7)

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  10. The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9), is

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  11. The value of cos""(pi)/(9)cos""(2pi)/(9)cos""(3pi)/(9)cos""(4pi)/(9), ...

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  12. The vlaue of cosec^(2)""(pi)/(7)+cosec^(2)""(2pi)/(7)+cosec^(2)""(3pi)...

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  14. the value of sin(pi/7)+sin((2pi)/7)+sin((3pi)/7) is

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  15. cos^6pi/9-33tan^4pi/9+27tan^2pi/9 is equal to 0 (b) sqrt(3) (c) 3 ...

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  17. If sinA=(336)/(625)where450^(@)ltAlt540^(@), then sin""(A)/(4)=

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  19. The value of cot^(2)""(pi)/(7)+cot^(2)""(2pi)/(7)+cot^(2)""(3pi)/(7), ...

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  20. The value of sin""(pi)/(7)sin""(2pi)/(7)sin""(3pi)/(7), is

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