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Prove that :"sin"As in(60^0-A)s in(60^0+...

Prove that :`"sin"As in(60^0-A)s in(60^0+A)=1/4sin3A`

A

sin 3A

B

`(1)/( 2) sin 3A`

C

`(1)/( 3) sin 3A`

D

`(1)/( 4) sin 3A`

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
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  3. Prove that :"sin"As in(60^0-A)s in(60^0+A)=1/4sin3A

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  4. If x is A.M. of tan "" ( pi )/( 9 ) and tan"" ( 5pi )/( 18) and y is A...

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  6. The value of 2tanpi/(10)+3secpi/(10)-\ 4cospi/(10) is 0 b. 1 c. sqrt(5...

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  7. The value of sin 50^(@) - sin70^(@) + sin 10^(@) is equal to

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  8. The value of sqrt3"cosec"20^@ - sec 20^@ is equal to

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  9. Expression (1)/(cos 290^(@)) + (1)/(sqrt(3) sin 250^(@)) equals

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  10. The value of (1)/( sin10^(@)) - ( sqrt( 3))/( cos 10^(@))=

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  11. The least value of cos^(2) theta - 6 sin theta cos theta + 3sin^(2) th...

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  12. If tanalpha=m/(m+1)a n dtanbeta=1/(2m+1) . Find the possible values of...

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  13. If tanA=(1)/(2) and tanB=(1)/(3), then tan(2A+B) is equal to

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  14. A = 18^(@)and cos 2A=

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  15. If cot (alpha + beta )=0 , then sin(alpha+2beta )=

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  16. Prove that (tan^(2)2theta-tan^(2)theta)/(1-tan^(2)2thetatan^(2)theta)=...

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  17. ( sec 8 theta -1 )/( sec 4 theta -1) =

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  18. Prove that (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-bet...

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  19. ( cos alpha - cos beta )^(2) + ( sin alpha - sin beta )^(2) =

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