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Given that for `a, b, c, d in R`, If `a sec(200^(@))-c tan (200^(@))=d and b sec(200^(@))+d tan(200^(@))=c`, then find the value of `((a^(2)+b^(2)+c^(2)+d^(2))/(bd-ac))sin20^(@)` .

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VIKAS GUPTA (BLACK BOOK) ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. The value of (1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+...

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  2. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

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  3. Given that for a, b, c, d in R, If a sec(200^(@))-c tan (200^(@))=d a...

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  4. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

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

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

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

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

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

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  10. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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  11. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=.....

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

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  13. If y=(sin theta+"cosec" theta)^(2) +(cos theta+sec theta)^(2), then m...

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  14. If tan20^0+tan40^0+tan80^0-tan60^0= lambdasin40^0, find lambda.

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

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

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  17. Prove that cos ((2pi)/7)+ cos ((4pi)/7) + cos ((6pi)/7) = - 1/2

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

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

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

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