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If the expression cos(x - 3pi/2) + sin(3...

If the expression `cos(x - 3pi/2) + sin(3pi/2+x) + sin(32pi+x) - 18 cos(19pi-x)+cos(56pi+x) - 9sin(x+17pi)` is expressed in the form of `a sinx + bcos x`, then a+b is equal to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f be a continuous real function such that f(11)=10 and for all ...

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  2. The orthogonal projection of vec a\ on\ vec b is a. (( vec adot vec ...

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  3. If the expression cos(x - 3pi/2) + sin(3pi/2+x) + sin(32pi+x) - 18 cos...

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  4. The value of ("lim")(x→0)x[1/x], where [.] denotes GIF, is 0 (b) 1 (c)...

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  5. Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, p...

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  6. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

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  7. The value of (lim)(xvec0)(e^(2x)-cosx-ln(1+2x))/(xtanx-sinx)i s 0 (b...

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  8. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

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  9. If f(r)=1+1/2+1/3+1/ra n df(0)=0,t h e nsum(r=1)^n(2r+1)f(r) is equal ...

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  10. If("lim")(xvecoo)(n .3^n)/(n(x-2)^n+n .3^(n+1)-3^n)=1/3, t h e nt h e ...

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  11. If ""^(100)C(6)+4." "^(100)C(7)+6." "^(100)C(8)+4." "^(100)C(9)+""^(1...

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  12. If y=1cos theta+2costheta+3cos3theta+....+99cos99theta, then maximum v...

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  13. A variable plane moves so that the sum of reciprocals of its interce...

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  14. If [.] and {.} denote greatest and fractional part functions respectiv...

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  15. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

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  16. In given figure vec A B=3 hat i- hat j , vec A C=2 hat i+3 hat j and ...

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  17. Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), where f(x) is an increasing di...

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  18. The solution set of the inequality max {1-x^2,|x - 1|}<1 then

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  19. If [.] denotes greatest integer function and x in (0,20), then the num...

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  20. The simultaneous equations, y=x+2|x| & y=4+x-|x| have the solution se...

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