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(sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos...

`(sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)` is :

A

tan2A

B

tan3A

C

tan4A

D

tan8A

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The correct Answer is:
C
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(sinA + sin3A) / (cosA + cos3A) = tanalpha, (cosA-cos2A) / (sinA + sin2A) = tanbeta, (sinA + sin3A + sin5A + sin7A) / (cosA + cos3A + cos5A + cos7A) = tan gamma , (cosA-cos5A-cos9A + cos13A) / (sinA-sin5A + sin9A-sin13A) = tandelta, then (a) alpha = 4beta (b) gamma = 2alpha (c) gamma = delta (d) none

(sin A+sin3A+sin5A+sin7A)/(cos A+cos3A+cos5A+cos7A)=tan4A

Prove that: (sin A+sin3A+sin5A+sin7A)/(cos A+cos3A+cos5A+cos7A)=tan4A

(sin A + sin5A + sin9A) / (cos A + cos5A + cos9A) =

Prove that: (sin2A sin3A-sin4A sin5A+sin3A sin6A)/(cos2A cos3A-cos4A cos5A+cos3A cos6A)=tan A tan4A

(sin3A+sin5A+sin7A+sin9A)/(cos3A+cos5A+cos7A+cos9A)

The fundamental period of (sin x+sin3x+sin5x+sin7x)/(cos x+cos3x+cos5x+cos7x) is (pi)/(k) then k=

(sin A sin2A + sin3A sin6A) / (sin A cos2A + sin3A cos6A) = tan5A

Prove that: (sin7A+sin5A+sin9A+sin3A)/(cos3A+cos5A+cos7A+cos9A)= tan6A

(sin5A-sin7A+sin8A-sin4A)/(cos4+cos7A-cos5A-cos8A)=cot6A

QUANTUM CAT-TRIGONOMETRY-QUESTION BANK
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  2. Find the value of (cos2B-cos 2A)/(sin2A+sin2B):

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  3. (sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A) is :

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  4. If costheta=3/5, find the value of sin2theta :

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  5. find the value of expression (sin2x)/(1+cos2x) is:

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  6. find the value of the following expression cos^4theta-sin^4theta is :

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  7. If cotx=(a)/(b), find the value of a cos2x+b sin 2x

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  8. Find the value of cot3theta:

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  11. Find the value of tanA+tanB+tanC, if A+B+C=pi:

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  12. If cos B=(sinA)/(2sinC), find the nature of triangle :

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  17. If the angles of a triangle are in the ratio 1:2:3, find the ratio bet...

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  18. If a=2b and A=3B, find the angles A, B, C of DeltaABC :

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  19. If in any triagnle a=13cm, b= 14 cm and c = 15cm, find the inradius of...

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  20. In a right angled triangle a^2+b^2+c^2 is :

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