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If the expression (sin theta sin2theta+...

If the expression `(sin theta sin2theta+sin3theta sin60theta+sin4theta sin13theta)/(sin theta cos 2theta+sin3theta cos 6theta+sin4theta cos13theta)=tan k theta`, where `k in N`. Find the value of k.

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VIKAS GUPTA (BLACK BOOK)-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
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  2. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

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  3. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

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  4. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

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  5. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

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  6. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

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  7. If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy...

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  8. If cos18^(@)-sin18^(@)=sqrt(n)sin27^(@), then n=

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  9. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

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  10. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

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  11. The minimum value of (sintheta+c o s e ctheta)^2+(costheta+sectheta)^...

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  12. If tan20^0+tan40^0+tan80^0-tan60^0= lambdasin40^0,

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  13. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

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  14. If cos20^(@)+2sin^(2)55^(@)=1+sqrt(2)sinK^(@), K in (0, 90)," then "K=

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  15. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

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  16. Let alpha be the smallest integral value of x, x>0 such that tan 19x=(...

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  17. Find the value of the expression (sin20^@(4cos20^@+1))/(cos20^@cos30^@...

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  18. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

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  19. If cosA=(3)/(4) and k sin ((A)/(2))sin((5A)/(2))=(11)/(8). Find k.

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  20. Find the least value of the expression 3sin^(2)x+4 cos^(2)x.

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