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tanalpha.tan(60^@-alpha).tan(60^@+alpha)...

`tanalpha.tan(60^@-alpha).tan(60^@+alpha)=tan3alpha`

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CBSE COMPLEMENTARY MATERIAL-TRIGONOMETRIC FUNCTIONS -SHORT ANSWER TYPE QUESTIONS
  1. Prove the following Identities (cos 4x sin 3x - cos 2xsin x)/(sin 4...

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  2. Prove the following Identities (1+sin theta-costheta)/(1+ sintheta+...

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  3. tanalpha.tan(60^@-alpha).tan(60^@+alpha)=tan3alpha

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  4. Prove that: \ sqrt(2+sqrt(2+2cos4theta))=2costheta

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  5. Prove the following Identities (cosx)/(1-sinx)=tan((pi)/(4)+(x)/(2)...

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  6. Prove the following Identities cos 10^(@) + cos 110^(@) + cos 130^(...

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  7. Prove the following Identities (sin(x+y)-2sinx+sin(x-y))/(cos(x+y)-...

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  8. Prove the following Identities sin x +sin 2x + sin 4x +sin 5x = 4 co...

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  9. Prove the following Identities (sec8theta-1)/(sec4theta-1)=(tan8the...

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  10. find the value ofsqrt3cosec20^(@)-sec20^(@)

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  11. The value of co s pi/5 co s.2pi / 5 c o s 4pi / 5 co s 8pi / 5 =

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  12. cos 20^@ cos 40^@ cos 80^@=

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  13. Find the general solution of the following equations sin 7x = sin 3...

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  14. Find the general solutions of each of the following equations : (1) ...

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  15. Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x.

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  16. Draw the graph of cosx, sin x and tan x in [0, 2pi]

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  17. Draw sin x, sin 2x and sin 3x on same graph and with same scale

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  18. Evaluate(i) cos 36^(@) (ii)tan((13pi)/(12))

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  19. cos^4(pi/8)+cos^4((3pi)/8)+cos^4((5pi)/8)+cos^4((7pi)/8)=

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  20. If tanA=tanB=xa n dcotB-cotA=y , prove that cot(A-B)=1/x+1/y

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