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Prove that: t a nA+tan(60^0+A)-t a n(60^...

Prove that: `t a nA+tan(60^0+A)-t a n(60^0-A)=3t a n3A`

A

tan 3A

B

2 tan 3A

C

3 tan 3A

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
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  2. Find the angle theta whose cosine is equal to its tangent.

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  3. Prove that: t a nA+tan(60^0+A)-t a n(60^0-A)=3t a n3A

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  4. If tan alpha + tan ( alpha + ( pi )/( 3) ) + tan ( alpha + ( 2pi )/( 3...

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

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

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

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

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

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

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

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

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

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

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

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

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