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Prove that tan 9^circ - tan 27^circ -tan...

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

A

2

B

3

C

4

D

Non of these

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The correct Answer is:
C
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LUCENT PUBLICATION-ADVANCED TRIGONOMETRIC IDENTITIES-EXERCISE 13A
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  3. Find the value of:(1+cos""(pi)/(8))(1+cos""(3pi)/(8))(1+cos""(5pi)/(8)...

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

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

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

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

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

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  11. (3-4 cos 2theta + cos 4 theta) equals

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

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

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

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

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

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

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

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  19. If sin theta - cos theta = (sqrt(3)-1)/(2), " then " theta equals

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  20. If 1 + cos x cos y + sin x sin y = 0, then which of the following is ...

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