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

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

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

Prove that, tan 70^(@) - tan 50^(@) + tan 10^(@) = sqrt3

Prove that tan20^@+4sin20^@=sqrt3

Prove that, tan 70^(@) = 2tan 50^(@) + tan 20^(@)

Prove that sin 10^(@) + sin 50^(@)-sin70^(@)=0

Prove that tan20^(@) tan40^(@) tan80^(@) = sqrt3

Prove that 8 sin20^(@) sin40^(@) sin80^(@) = sqrt3

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

Prove that sin10^(@) + sin20^(@) + sin 40^(@) + sin 50^(@) = sin 70^(@) + sin 80^(@)

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If sin theta+ sin phi= sqrt(3)( cos phi- cos theta), then show that si...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Solve : tan^(3) theta+ cot^(3) theta= 8 "cosec"^(3) 2 theta+12

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  16. Solve : ("sin" (x)/(2) "cos" (x)/(2))/(1-8 "sin"^(2)(x)/(2) "cos"^(2...

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  17. Solve : cos theta cos 2 theta cos 3 theta =(1)/(4) (0 le theta le p...

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  18. If cos beta is the geometric mean of sin alpha and cos alpha, then sho...

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  19. Prove that "sin" (pi)/(14)"sin" (3pi)/(14) "sin" (5pi)/(14) "sin" (7p...

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  20. The sides of a triangles are in A.P.and the greatest angle exceeds the...

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