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tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt...

`tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))`

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Value of x satisfying tan(sec^(-1)x)=sin(cos^(-1)((1)/(sqrt(5))))

tan (sec ^ (- 1) x) = sin (cos ^ (- 1) ((1) / (sqrt (5))))

tan(sin^(-1)((3)/(5))+cos^(-1)((3)/(sqrt(13)))=

quad Ifalpha=2tan^(-1)(sqrt(3-2sqrt(2)))+sin^(-1)((1)/(sqrt(6)-sqrt(2))),beta=cot^(-1)(sqrt(3)-2)+(1)/(8)sec^(-1)(-2) and gamma=tan^(-1)((1)/(sqrt(2)))+cos^(-1)((1)/(sqrt(3))), then

Prove that cos[tan^(-1){sin(cos^(-1)x)}]=(1)/(sqrt(2-x^(2)))

Find the principal value of: i) sin^(-1)(sqrt(3)/2) ii) sin^(-1)(1/2) iii) cos^(-1)(1/2) iv) tan^(-1)(1) v) tan^(-1)(1/sqrt(3)) vi) sec^(-1)(2/sqrt(3)) , vii) "cosec"^(-1)(sqrt(2)) .

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(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2))) is equal to

Which of the following is/are correct? tan[cos^(-1)(4)/(5)+tan^(-1)(2)/(3)]=(17)/(6)cos[tan^(-1)(1)/(3)+tan^(-1)(1)/(2)]=(1)/(sqrt(2))cos2tan^(-1)((1)/(3))+cos(tan^(-1)2sqrt(2))=(14)/(15)cos[2cos^(-1)(1)/(5)+sin^(-1)(1)/(5)]=-(2sqrt(6))/(6)

(tan ^ (- 1) (sqrt (3)) - sec ^ (- 1) (- 2)) / (cos ec ^ (- 1) (- sqrt (2)) + cos ^ (- 1) (- (1) / (2))) =

RESONANCE DPP-JEE MAINS-All Questions
  1. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

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  2. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

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  3. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

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  4. If f(x)={(sina x^2)/(x^2); x!=0 3/4+1/(4a); x=0, is continuous everyw...

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  5. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

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  6. If greatest and least values of f(x)=sin^(-1)(x/(sqrt(x^2+1)))-lnx in...

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  7. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

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  8. If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ;Bn=int0^(pi/2)((sinn x)/(sinx...

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  9. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

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  10. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

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  11. The number of values of k for which the system of the equations (k+1)x...

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  12. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

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  13. ("lim")(x→0^+)("sin"[cosx])/(1-[cosx]) ([.] denotes the greatest integ...

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  14. If [dot] represents the greatest integer function, then int4^(10)([x^2...

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  15. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

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  16. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

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  17. The value of the integral int-2^(2) |1-x^2|dx is

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  18. Prove that int0^2|x^2+2x-3|dx=4

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  19. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

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  20. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

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