Find the exact area bounded by the curves y=sinx and y=cosx in the domain 0≤x≤2pi
EQ.1 y = cos x EQ.2 y = sin x
Solve the intersection points between the two equations.
`y = y`
`sin x = cos x`
Divide both sides by cos x.
`(sin x)/(cosx) = 1`
`tan x = 1`
Refer to Unit Circle Chart or Table of Trigonometric Function for Special Angle to determine the value of x.
So at the interval `0<=x<=2pi` values of x are,
`x = pi/4 and (5pi)/4`
(The entire section contains 216 words.)
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