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

The expression `2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9pi)/(17)` simplifies to an integer P. Find the value of P.

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VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

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  2. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Let alpha be the smallest integral value of x, x gt 0 such that tan19...

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

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

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

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