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Which of the following is true? pi/3>tan...

Which of the following is true? `pi/3>tan^(-1)pi/3` (b) `pi/3cos^(-1)pi/4`

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Evaluate each of the following: sin^(-1)(sin(pi)/(3)) (ii) cos^(-1)(cos(2 pi)/(3))tan^(-1)(tan(pi)/(4))(iv)sin^(-1)(sin(2 pi)/(3))cos^(-1)(cos(7 pi)/(7))(vi)tan^(-1)(tan(3 pi)/(4))sin^(-1)(cos(-600^(@))cos^(-1)(cos(-680^(@)))

Evaluate each of the following: sin^(-1)((sin pi)/(3)) (ii) cos^(-1)((cos(2 pi))/(3))( iii) tan^(-1)((tan pi)/(4))

Evaluate each of the following: sin^(-1)((sin(2 pi))/(3))( ii) cos^(-1)((cos(7 pi))/(6))( iii) tan^(-1)((tan(3 pi))/(4))

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

Find the principal value of each of the following :cos^(-1)((sin(4 pi))/(3))( ii) cos^(-1)((tan(3 pi))/(4))

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))

Evaluate the following: 1*sin^(-1)(sin(2 pi)/(3))2cos^(-1)(cos(7 pi)/(6))3*tan^(-1)(tan(2 pi)/(3))

Show / Prove/ Verify the following : (sin^(2)""(pi)/(6)+cos^(2)""(pi)/(3)+tan^(2)""(pi)/(6))/(sec^(2)""(pi)/(4)-cos^(2)pi)=(1)/(3).cos""(pi)/(3)+(1)/(sqrt3)sec""(pi)/(6)

sin^(2)pi/6+cos^(2)pi/3-tan^(2)pi/4=-1/2

Prove the following: tan[(pi)/(4)+(1)/(2)cos^(-1)((a)/(b))]+tan[(pi)/(4)-(1)/(2)cos^(-1)((a)/(b))]=(2b)/(a)

RESONANCE DPP-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " th...

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  3. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

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  4. Let f(x)=[(sinx)/x]+[(2sin2x)/x]+.....+[(10sin10 x)/x] (where [.] is t...

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  5. The sum of the series x/(1)+(2x^2)/(2)+(3x^3)/(3)+ is x e^x b. -x e...

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  6. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

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  7. If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...

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  8. Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/...

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  9. Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2))...

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  10. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

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  11. If u=f(x),v=g(x), then the value of D^*(udotv) is (D^*u)v+(D^*v)u b. u...

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  12. Let f(x)={((x-4)/(|x-4|)+a ,x<4),(a+b ,x=4),((x-4)/(|x-4|)+b ,x >4):} ...

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  13. If f(x)=x^3+bx^2+cx+d and 0 < b^2 < c, then in (-oo,oo), (a) f(x) is...

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  14. The point(s) of minimum of function, f(x)=4x^3-x|x-2|,x in [0,3] is x=...

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  15. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive func...

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  16. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

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  17. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

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  18. Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...

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  19. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

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  20. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) ...

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