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Find the general solutions of the following equations: `sin2x+sin4x+sin6x = 0`

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CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. Find the general solutions of the following equations: sec^2(2theta) =...

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  2. Find the general solutions of the following equations: 4sinxcosx+2sinx...

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  3. Find the general solutions of the following equations: sin2x+sin4x+sin...

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  4. Find general solution of sqrt3cosx-sinx = 1

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  5. Solve the triangle in which a=2,b=1 and c=sqrt3

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  6. In any /\ABC, prove that asinA-bsinB = csin(A-B)

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  7. In any /\ABC, prove that [frac{a-b}{a+b}] = frac{tan(frac{A-B}{2})}{ta...

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  8. In any /\ABC, prove that frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sin...

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  9. For /\ABC, prove that frac{cosA}{c cosB+bcosC}+frac{cosB}{acosC+c cosA...

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  10. Prove that, for/\ABC, (b+c)cosA+(c+a)cosB+(a+b)cosC = a+b+c

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  11. In /\ABC, if sin^2A+sin^2B = sin^2C, then, show that the triangle is a...

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  12. With the usual notations, show that frac{asin(B-C)}{b^2-c^2} = frac{bs...

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  13. Show that in /\ABC, tan(frac{A}{2})tan(frac{B}{2}) = frac{a+b-c}{a+b+c...

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  14. In /\ABC, show that bcos^2(frac{C}{2})+c cos^2(frac{B}{2}) = s

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  15. Find the polar coordinates of a point whose cartesian coordinates are ...

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  16. Find the ratio of sides of a 30^@-60^@-90^@ triangle

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  17. In /\ABC, a=2, b=3 and sinA = frac{2}{3}, find B

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  18. In /\ABC, a=2, b=3, c=4, prove that the triangle is obtuse angled.

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  19. In /\ABC A = 60^@, b=3, c=8, find a

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  20. In /\ABC, A = 60^@, a=7, find circum radius

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