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If x=sec theta-tan theta and y="cosec"t...

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

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VIKAS GUPTA (BLACK BOOK)-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Q. If tan alpha and tan beta are the roots of equation x^2-12x-3=0, th...

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  18. The value of cos24^0/(2tan33^0sin^2(57^0))+sin162^0/(sin18^0-cos18^0ta...

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  19. Find the value of tantheta(1+sec2theta)(1+sec4theta)(1+sec8theta), whe...

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  20. If lambda be the minimum value of y= (sinx+"cosec"x)^(2)+(cosx+secx)^...

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