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Show that 3(sin x- cos x)^(4)+4 (sin ^(6...

Show that `3(sin x- cos x)^(4)+4 (sin ^(6)x+cos^(6)x)+ 6(sin x+cos x)^(2)=13`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Show that the value of (cot 3x)/(cot x) cannot lie between (1)/(3) an...

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  2. If (sin theta + cos theta )=sqrt(2) cos theta , show that cot theta =...

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  3. Show that 3(sin x- cos x)^(4)+4 (sin ^(6)x+cos^(6)x)+ 6(sin x+cos x)^(...

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  4. Show that 1+cos 56^(@)+ cos 58^(@)-cos66^(@)=4 cos 28^(@) cos 29^(@...

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  5. If alpha= (2pi)/(7), then prove that cos alpha+ cos 2 alpha+ cos 4alph...

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  6. In any triangle ABC if sin A sin B sin C+ cos A cos B=1, then show tha...

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  7. If sin theta+ sin phi= sqrt(3)( cos phi- cos theta), then show that si...

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  8. Prove that : tan 70^(@)+ tan 10^(@)- tan 50^(@)= sqrt(3)

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  9. Prove that : 4 sin 50^(@)- sqrt(3) tan 50^(@)=1

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  10. If alpha, beta , gamma lengths of the altitudes of a triangle ABC, pro...

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  11. If a sin theta+ b cos theta=0,then find theta

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  12. If cos^(3) theta = kcos (alpha- 3 theta) and sin ^(3) theta= ksin (alp...

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  13. Show that the general solution of sin x- 3 sin 2x+sin 3x= cos x-3 cos ...

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  14. If k is a positive integer, show that 2[ cos x+ cos 3x+ cos 5x+ ..+ ...

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  15. If alpha=(pi)/(8 n) then prove that sin^(2) alpha+ sin^(2)3 alpha+ sin...

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  16. If sin A+ tan A= a and cos A+ cot A= b, then show that (1+a)^(-2)+(1...

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  17. If a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta then show ...

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  18. Show that (1+ sin A)/(cosA)+( cos B)/(1- sin B)=(2 (sin A- sin B))/(...

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  19. If n is positive integer and "cos" (pi)/(2n)+"sin" (pi)/(2n) =(sqrt(n)...

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  20. Solve : sec theta+"cosec" theta=2 sqrt(2)

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