Question #45f6e

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Question #45f6e

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Answer 1 · 2017-03-10T05:33:02

When #x = pi/4#

Explanation:

Property of complement arc:
#sin x = cos (pi/2 - x)#
It is possible that sin x= cos x when #cos (pi/2 - x) = cos x#.
Unit circle gives:
#cos (pi/2 - x) = cos x# --> #(pi/2 - x) = +- x#
It happens when
#pi/2 = 2x# --> #x = pi/4#
Check.
When #x = pi/4# --> Trig Table --> #sin x = sqrt2/2# --> #cos x = sqrt2/2#,
then, sin x = cos x.

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Question #45f6e

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