Question

the area of triangle formed by
$y = \cos ^{ - 1} ( cosx)$
X € ( 0,2pie) and x axis is
​

Answer 1

Answer:

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Answer 2

The region bounded by y=cosx,x− axis and the ordinates x=0 and x=2π is the shaded region in given figure

Its area A is given by

A=∫02π∣y∣dx=∫0π/2∣y∣dx+∫3π/22π∣y∣dx

⇒A=∫0π/2cosx dx+∫3π/2π/2−cosx dx+∫3π/22πcosx dx

⇒A=∫0π/2y dx+∫π/23π/2−y dx+∫3π/22πy dx=[sinx]0π/2+[−sinx]π/23π/2+[sinx]3π/22π