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If sin theta =3 sin ( theta + 2 alpha),...

If ` sin theta =3 sin ( theta + 2 alpha),` then the value of ` tan (theta + alpha) + 2 tan alpha` is

A

`tan x = tan alpha`

B

`tan x = tan^(2) alpha`

C

`tan x = tan^(3) alpha`

D

`tan x = 3 tan alpha`

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The correct Answer is:
C
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LUCENT PUBLICATION-ADVANCED TRIGONOMETRIC IDENTITIES-EXERCISE 13A
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  2. If x = tan 15^(@), y = cosec 75^(@) " and " z =4 sin 18^(@), then

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  3. If sin theta =3 sin ( theta + 2 alpha), then the value of tan (theta...

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

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  5. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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  6. Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/...

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  7. cos""(pi)/(15).cos""(2pi)/(15).cos""(4pi)/(15).cos""(8pi)/(15) is equa...

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  8. (2)/(sqrt(2) + sqrt(2) + sqrt(2+2 cos 4x)) equals

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  9. The value of cos 15^(@) cos 7 ((1)/(2))^(@)sin 7 ((1)/(2))^(@) is

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  10. (cot x - tan x)/(cot 2x) equals

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  11. tan 67 (1^(@))/(2) + cot 67 (1^(@))/(2) equals

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  12. If sin 4 A - cos 2A = cos 4A - sin 2A, (0 lt A lt (pi)/(4)) then the ...

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  13. (3-4 cos 2theta + cos 4 theta) equals

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  14. If8 cos 2 theta + 8 sec 2theta = 65, 0 lt theta lt (pi)/(2) then the v...

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  15. cos A cos 2A cos4 A…… cos2^(n-1) A equals

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  16. Prove that tan 9^circ - tan 27^circ -tan 63^circ + tan 81^circ = 4.

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  17. (cos theta)/(1 + sin theta) equals

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  18. Let alpha, beta be such that pi lt alpha -beta lt 3 pi. If sin alpha...

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  19. cos^(2)(A-B)+cos^(2)B-2cos(A-B).cosA.cosB=?

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  20. cos^(2)""(pi)/(16)+cos^(2)""(3pi)/(16)+cos^(2)""(5pi)/(16)+cos^(2)""(7...

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