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The value of sqrt3cot20^(@)-4cos20^(@) i...

The value of `sqrt3cot20^(@)-4cos20^(@)` is

A

1

B

`-1`

C

0

D

none of these

Text Solution

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The correct Answer is:
A
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
  1. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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  2. cos^(4) "" ( pi )/(8) + cos^(4) "" ( 3pi)/( 8 ) + cos^(4) "" ( 5pi )/(...

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  3. The value of sqrt3cot20^(@)-4cos20^(@) is

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  4. If If x cosalpha+y sinalpha=2a, x cos beta+y sinbeta=2aand 2sin""(alph...

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  5. If A+B=pi/4, then (1+tan A) (1+tanB) is equal

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  6. If f (x) = ( cot x )/( 1+ cot x ) and theta +phi = ( 5pi )/( 4), then ...

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  7. If sin A + sin B =a and cos A + cos B = b, then cos ( A + B ) =

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  8. If cos A + cos B =a, and sin A + sin B = b where a,b cancel(=)0, then ...

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  9. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

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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 2 cos theta = x + ( 1)/( x) , 2 cos phi = y + ( 1)/( y ), then cos...

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  12. sin 12^(@) sin 48^(@) sin 54^(@) is equal to

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  13. The value of sin"" ( pi )/(7 ) +sin"" ( 2pi )/( 7 ) + sin "" ( 3pi )/...

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  14. cos"" ( 2pi )/( 7 ) + cos "" ( 4pi )/( 7 ) + cos "" ( 6pi )/( 7 )

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  15. cos 0 + cos"" ( pi )/( 7 ) + cos "" ( 2pi )/(7) + cos"" ( 3pi)/(7)+ co...

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  16. The value of cos""(pi)/(11)+cos""(3pi)/(11)+cos""(5pi)/(11)+cos""(7pi)...

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  17. The average of sin 2^(@) , sin 4^(@) , sin 6^(@),"….." sin180^(@) is

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  18. Let z = cos theta + isin theta. Then the value of sum(m=1)^(15) Im(z^(...

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  19. sin"" (pi )/( n ) + sin "" ( 3pi)/( n ) + sin"" ( 5pi)/( n ) +"…."n te...

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  20. sum(r=1)^(n-1)sin^(2)"" (r pi )/( n ) equals

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