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If sin theta+sin^2 theta=1then prove tha...

If `sin theta+sin^2 theta=1`then prove that `cos^12 theta +3 cos^10 theta+3cos^8 theta+cos^6 theta-1=0`

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Express tan theta in terms of cos theta

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  2. If sin theta+sin^2 theta=1then prove that cos^12 theta +3 cos^10 theta...

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  3. Prove that : (tan theta+cot theta)^2=sec^2 theta+cosec^2 theta=sec^2 t...

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  4. Find the general value of theta satisfying both sin theta=(-1/2) and t...

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  5. find tan 75^@

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  6. Find the value of tan 13 pi/12

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  7. Prove that 70^@=tan 20^@+2 tan 50^@

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  8. if A+B=45^@ find the value of (1+tan A)(1+ tan B)

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  9. If 0lt betalt alpha lt(pi/4),cos(alpha+beta)=3/5 and cos(alpha-beta)=4...

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  10. If 2 sin alpha cos beta sin gamma =sin beta sin (alpha +gamma) then pr...

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  11. if cos(x-y)cosx and cos(x+y) are in H.P then evaluate abs (cos x.secy/...

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  12. Prove that tan A+2 tn A+4 tan A+8cot 8A=cot A

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  13. Evaluate : cos12^@cos24^@cos36^@cos48^@cos72^@cos84^@

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  14. If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamm...

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  15. prove sin alpha+sin(alpha+(2pi)/3)+sin (alpha+(4pi)/3)=0

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  16. Prove that (cos 7x+cos 5x)/(sin7x-sin 5x)=cotx

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  17. if tan( (pi)/9),x, tan ((5pi)/18) are in A.P. and tan(pi/9), y,tan ((7...

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  18. find the value of k which satisfy tan theta +tan(theta+pi/3)+tan (thet...

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  19. sin^3x.sin3x=underset(mrarr0)(oversetnsumCmcosmx is an identity in x,w...

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  20. Find sin( (pi)/n)+sin ((3pi)/n)+sin ((5pi)/n)+……..to n terms

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