Is sinx cosx ever equal to 1?

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asked Jan 4, 2017 24.0k views

1 Answer

Xenox · Answer 1 · 2017-01-10T15:07:50+0000

From Pythagorean Identities sin^2x+cos^2x=1
and from that identities we can have sinx+cosx=1, taking sinx=1−cosx and substitute in the equation
sinx+cosx=1
(1−cosx)+cosx=1
Remove the parenthesis
1−cosx+cosx=1
cancel cosx
1=1

Is sinx cosx ever equal to 1?

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