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If `tan alpha and tan beta` are the roots of equation `x^(2)-12x-3=0`, then the value of `sin^(2)(alpha+beta)+2sin(alpha+beta)cos(alpha+beta)+5cos^(2)(alpha+beta)` is :

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VK JAISWAL ENGLISH-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. Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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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. If x=alpha satisfy the equation 3^(sin2x+2cos^(2)x)+3^(1-sin2x+2sin^(...

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

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  8. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

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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 ...

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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 gt 0 such that tan19...

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

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

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  18. The value of (cos24^(@))/(2tan33^(@)sin^(2)57^(@))+(sin162^(@))/(sin1...

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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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