40. arccos[cos(2arccot(root(2)-1))] is equal to A. Root(2)-1 B. 1-root(2) C. Pie /4 D. 3pie/4

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A particle is released from rest from a tower of height

3h the ratio of times to fall equal heights h,i.e ,t1:t2:t3

A) root 3:root2:1

B)3:2:1

C)9:4:1

D)1:(root2-1):(root3-root2

Select correct option

t a n (\frac{π}{2} + \frac{1}{2} arccos \frac{a}{b}) + t a n (\frac{π}{4} - \frac{1}{2} arccos a b) = \frac{2 b}{a}

a r c tan 1 + a r c cos (- \frac{1}{2}) + a r c sin (- \frac{1}{2}) = ?

lim x \to - 1

\frac{\sqrt{π} - \sqrt{a r c c o s x}}{\sqrt{x + 1}}

\int \frac{x + (a r c c o s 3 x)^{2}}{\sqrt{1 - 9 x^{2}}} d x = \frac{1}{k_{1}} (\sqrt{1 - 9 x^{2}} + (c o s^{- 1} 3 x)^{k_{2}}) + C

k_{1}^{2} + k_{2}^{2} =

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